{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Physical Layer Abstraction\n",
    "\n",
    "In this notebook, you will learn how to bypass the simulation of time-consuming physical\n",
    "layer (PHY) procedures, such as MIMO detection and decoding, via [physical layer\n",
    "abstraction](https://nvlabs.github.io/sionna/sys/api/abstraction.html).\n",
    "\n",
    "Specifically, we will demonstrate how to abstract PHY computations for each user by\n",
    "  - Aggregating the per-stream SINR values into a single, AWGN-equivalent effective\n",
    "    SINR value;\n",
    "  - Mapping the effective SINR value to a transport block error rate (TBLER)\n",
    "    using pre-computed look-up tables from the forward error correction (FEC)\n",
    "    module of Sionna PHY.\n",
    "  \n",
    "This method enables the fast computation of the transmission rate and HARQ feedback on\n",
    "a per-user basis, allowing system-level simulations to scale up to tens of base stations and hundreds\n",
    "of users, as demonstrated in the related [system-level simulation notebook](https://nvlabs.github.io/sionna/sys/tutorials/End-to-End_Example.html)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![phy_abs_notebook.png]()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Imports\n",
    "We start by importing Sionna and the relevant external libraries."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-03-14T11:12:10.044955Z",
     "iopub.status.busy": "2025-03-14T11:12:10.044138Z",
     "iopub.status.idle": "2025-03-14T11:12:12.547098Z",
     "shell.execute_reply": "2025-03-14T11:12:12.546008Z"
    }
   },
   "outputs": [],
   "source": [
    "import os\n",
    "os.environ['TF_CPP_MIN_LOG_LEVEL'] = '3'\n",
    "if os.getenv(\"CUDA_VISIBLE_DEVICES\") is None:\n",
    "    gpu_num = 0 # Use \"\" to use the CPU\n",
    "    if gpu_num!=\"\":\n",
    "        print(f'\\nUsing GPU {gpu_num}\\n')\n",
    "    else:\n",
    "        print('\\nUsing CPU\\n')\n",
    "    os.environ[\"CUDA_VISIBLE_DEVICES\"] = f\"{gpu_num}\"\n",
    "\n",
    "# Import Sionna\n",
    "try:\n",
    "    import sionna.sys\n",
    "except ImportError as e:\n",
    "    import sys\n",
    "    if 'google.colab' in sys.modules:\n",
    "       # Install Sionna in Google Colab\n",
    "       print(\"Installing Sionna and restarting the runtime. Please run the cell again.\")\n",
    "       os.system(\"pip install sionna\")\n",
    "       os.kill(os.getpid(), 5)\n",
    "    else:\n",
    "       raise e\n",
    "\n",
    "# Configure the notebook to use only a single GPU and allocate only as much memory as needed\n",
    "# For more details, see https://www.tensorflow.org/guide/gpu\n",
    "import tensorflow as tf\n",
    "tf.get_logger().setLevel('ERROR')\n",
    "gpus = tf.config.list_physical_devices('GPU')\n",
    "if gpus:\n",
    "    try:\n",
    "        tf.config.experimental.set_memory_growth(gpus[0], True)\n",
    "    except RuntimeError as e:\n",
    "        print(e)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-03-14T11:12:12.551208Z",
     "iopub.status.busy": "2025-03-14T11:12:12.550785Z",
     "iopub.status.idle": "2025-03-14T11:12:12.708285Z",
     "shell.execute_reply": "2025-03-14T11:12:12.707497Z"
    }
   },
   "outputs": [],
   "source": [
    "# Additional external libraries\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# Sionna components\n",
    "from sionna.phy.utils import log2, insert_dims, db_to_lin\n",
    "from sionna.phy.constants import BOLTZMANN_CONSTANT\n",
    "from sionna.phy.channel import subcarrier_frequencies, cir_to_ofdm_channel\n",
    "from sionna.phy.channel.tr38901 import UMi, UMa, RMa, PanelArray\n",
    "from sionna.phy.mimo import StreamManagement\n",
    "from sionna.sys import PHYAbstraction, InnerLoopLinkAdaptation\n",
    "from sionna.phy import config\n",
    "\n",
    "# Internal computational precision\n",
    "sionna.phy.config.precision = 'single'  # 'single' or 'double'\n",
    "\n",
    "# Set random seed for reproducibility\n",
    "sionna.phy.config.seed = 45"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Instantiate a PHYAbstraction object\n",
    "\n",
    "By instantiating a [PHYAbstraction](https://nvlabs.github.io/sionna/sys/api/abstraction.html#sionna.sys.PHYAbstraction) object, precomputed effective SINR-to-BLER\n",
    "tables are loaded for each available modulation and coding scheme (MCS) index.  \n",
    "More information about MCS can be found in the documentation of the [5G NR\n",
    "Transport Block](https://nvlabs.github.io/sionna/phy/api/nr.html#sionna.phy.nr.TBConfig)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-03-14T11:12:12.712290Z",
     "iopub.status.busy": "2025-03-14T11:12:12.711972Z",
     "iopub.status.idle": "2025-03-14T11:12:15.601522Z",
     "shell.execute_reply": "2025-03-14T11:12:15.600668Z"
    }
   },
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Instantiate a PHYAbstraction object\n",
    "phy_abs = PHYAbstraction()\n",
    "\n",
    "mcs_category = 0  # 0 for uplink, 1 for downlink\n",
    "mcs_table_index = 1  # Table index: [1,2] for UL, [1,2,3,4] for DL\n",
    "mcs_index = 15  # MCS index\n",
    "\n",
    "# Plot a BLER table\n",
    "_ = phy_abs.plot(plot_subset={\n",
    "    'category':\n",
    "    {mcs_category: {'index':\n",
    "                    {mcs_table_index:\n",
    "                     {'MCS': [mcs_index, mcs_index+2]}}}}},  # MCS index\n",
    "    show=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As can be seen from the figure above, the BLER depends not only depend on the\n",
    "MCS but also on the code block size (CBS). The longer the code, the lower the BLER."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Retrieve BLER values from interpolated tables\n",
    "\n",
    "When a [PHYAbstraction](https://nvlabs.github.io/sionna/sys/api/abstraction.html#sionna.sys.PHYAbstraction) class is instantiated, the precomputed tables are interpolated over a fine\n",
    "two-dimensional grid of SINR and code block size (CBS) values. These\n",
    "interpolated tables are then used to obtain the BLER for different values of\n",
    "SINR and CBS. \n",
    "\n",
    "The following code snippet shows this operation in detail. In\n",
    "general, you are not supposed to call this method directly, but rather use the\n",
    "`call` method of the `PHYAbstraction` class which does this for you, as shown\n",
    "later on.\n",
    "\n",
    "This method also returns the transport block error rate (TBLER), which is the\n",
    "probability that at least one code block in a transport block is not decoded\n",
    "correctly.\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-03-14T11:12:15.604072Z",
     "iopub.status.busy": "2025-03-14T11:12:15.603872Z",
     "iopub.status.idle": "2025-03-14T11:12:15.683435Z",
     "shell.execute_reply": "2025-03-14T11:12:15.682617Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The BLER for MCS 15 at SNR 9 dB and CB size 80 is 0.0511\n"
     ]
    }
   ],
   "source": [
    "# Define the SNR and CB size at which BLER is retrieved\n",
    "snr_eff_db = 9\n",
    "cb_size = 80\n",
    "\n",
    "# Compute the corresponding indices for the BLER interpolated table\n",
    "snr_db_idx = phy_abs.get_idx_from_grid(snr_eff_db, 'snr')\n",
    "cbs_idx = phy_abs.get_idx_from_grid(cb_size, 'cbs')\n",
    "\n",
    "# Retrieve the interpolated BLER value\n",
    "bler = phy_abs.bler_table_interp[mcs_category,\n",
    "                                 mcs_table_index - 1,\n",
    "                                 mcs_index,\n",
    "                                 cbs_idx,\n",
    "                                 snr_db_idx]\n",
    "\n",
    "print(f'The BLER for MCS {mcs_index} at SNR {snr_eff_db} dB and CB size {cb_size} is {bler.numpy():.4f}')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Generate a new BLER table\n",
    "\n",
    "Optionally, in addition to or as a replacement for the pre-computed BLER tables that are shipped\n",
    "with Sionna SYS, it is possible to generate new BLER tables at specified MCS indices, SNR and\n",
    "code block size values.  \n",
    "This might also be useful, if you want experiment with different type of\n",
    "decoders.  \n",
    "\n",
    "For more details, see the documentation of the\n",
    "[new_bler_table](https://nvlabs.github.io/sionna/sys/api/abstraction.html#sionna.sys.PHYAbstraction.new_bler_table)\n",
    "method and/or its source code."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-03-14T11:12:15.685743Z",
     "iopub.status.busy": "2025-03-14T11:12:15.685540Z",
     "iopub.status.idle": "2025-03-14T11:12:49.256088Z",
     "shell.execute_reply": "2025-03-14T11:12:49.255266Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "BLER simulations started. \n",
      "Total # (category, index, MCS, SINR) points to simulate: 3\n",
      "\n",
      "\n",
      "Simulating category=1, index=2, CBS=24, MCS=16...\n",
      "\n",
      "EbNo [dB] |        BER |       BLER |  bit errors |    num bits | block errors |  num blocks | runtime [s] |    status\n",
      "---------------------------------------------------------------------------------------------------------------------------------------\n",
      "   -1.246 | 2.6222e-01 | 1.0000e+00 |         944 |        3600 |          150 |         150 |         0.8 |reached max iterations\n",
      "   -0.412 | 2.5417e-01 | 9.8667e-01 |         915 |        3600 |          148 |         150 |         0.4 |reached max iterations\n",
      "    0.421 | 2.4778e-01 | 9.9333e-01 |         892 |        3600 |          149 |         150 |         0.5 |reached max iterations\n",
      "    1.254 | 2.1000e-01 | 1.0000e+00 |         756 |        3600 |          150 |         150 |         0.5 |reached max iterations\n",
      "    2.088 | 2.0056e-01 | 9.8667e-01 |         722 |        3600 |          148 |         150 |         0.4 |reached max iterations\n",
      "    2.921 | 1.8944e-01 | 9.6000e-01 |         682 |        3600 |          144 |         150 |         0.5 |reached max iterations\n",
      "    3.754 | 1.7667e-01 | 9.6000e-01 |         636 |        3600 |          144 |         150 |         0.4 |reached max iterations\n",
      "    4.588 | 1.5972e-01 | 9.0000e-01 |         575 |        3600 |          135 |         150 |         0.4 |reached max iterations\n",
      "    5.421 | 1.1722e-01 | 8.0667e-01 |         422 |        3600 |          121 |         150 |         0.4 |reached max iterations\n",
      "    6.254 | 9.8333e-02 | 6.6667e-01 |         354 |        3600 |          100 |         150 |         0.5 |reached max iterations\n",
      "    7.088 | 7.6389e-02 | 4.3333e-01 |         275 |        3600 |           65 |         150 |         0.4 |reached max iterations\n",
      "    7.921 | 3.6667e-02 | 2.5333e-01 |         132 |        3600 |           38 |         150 |         0.4 |reached max iterations\n",
      "    8.754 | 2.8056e-02 | 1.6000e-01 |         101 |        3600 |           24 |         150 |         0.5 |reached max iterations\n",
      "    9.588 | 1.7222e-02 | 1.0667e-01 |          62 |        3600 |           16 |         150 |         0.5 |reached max iterations\n",
      "   10.421 | 5.8333e-03 | 4.0000e-02 |          21 |        3600 |            6 |         150 |         0.4 |reached max iterations\n",
      "   11.254 | 1.1111e-03 | 6.6667e-03 |           4 |        3600 |            1 |         150 |         0.5 |reached max iterations\n",
      "   12.088 | 0.0000e+00 | 0.0000e+00 |           0 |        3600 |            0 |         150 |         0.5 |reached max iterations\n",
      "\n",
      "Simulation stopped as no error occurred @ EbNo = 12.1 dB.\n",
      "\n",
      "\n",
      "PROGRESS: 33.33%\n",
      "Estimated remaining time: 0:00:16 [h:m:s]\n",
      "\n",
      "\n",
      "Simulating category=1, index=2, CBS=200, MCS=16...\n",
      "\n",
      "EbNo [dB] |        BER |       BLER |  bit errors |    num bits | block errors |  num blocks | runtime [s] |    status\n",
      "---------------------------------------------------------------------------------------------------------------------------------------\n",
      "   -1.246 | 2.5390e-01 | 1.0000e+00 |        7617 |       30000 |          150 |         150 |         0.8 |reached max iterations\n",
      "   -0.412 | 2.4080e-01 | 1.0000e+00 |        7224 |       30000 |          150 |         150 |         0.5 |reached max iterations\n",
      "    0.421 | 2.2620e-01 | 1.0000e+00 |        6786 |       30000 |          150 |         150 |         0.5 |reached max iterations\n",
      "    1.254 | 2.1337e-01 | 1.0000e+00 |        6401 |       30000 |          150 |         150 |         0.5 |reached max iterations\n",
      "    2.088 | 2.0313e-01 | 1.0000e+00 |        6094 |       30000 |          150 |         150 |         0.5 |reached max iterations\n",
      "    2.921 | 1.8740e-01 | 1.0000e+00 |        5622 |       30000 |          150 |         150 |         0.4 |reached max iterations\n",
      "    3.754 | 1.7140e-01 | 1.0000e+00 |        5142 |       30000 |          150 |         150 |         0.5 |reached max iterations\n",
      "    4.588 | 1.5637e-01 | 1.0000e+00 |        4691 |       30000 |          150 |         150 |         0.5 |reached max iterations\n",
      "    5.421 | 1.3770e-01 | 1.0000e+00 |        4131 |       30000 |          150 |         150 |         0.5 |reached max iterations\n",
      "    6.254 | 1.1050e-01 | 9.9333e-01 |        3315 |       30000 |          149 |         150 |         0.4 |reached max iterations\n",
      "    7.088 | 7.2367e-02 | 8.4667e-01 |        2171 |       30000 |          127 |         150 |         0.4 |reached max iterations\n",
      "    7.921 | 4.3367e-02 | 5.8000e-01 |        1301 |       30000 |           87 |         150 |         0.4 |reached max iterations\n",
      "    8.754 | 8.5667e-03 | 1.6667e-01 |         257 |       30000 |           25 |         150 |         0.5 |reached max iterations\n",
      "    9.588 | 7.0000e-04 | 2.0000e-02 |          21 |       30000 |            3 |         150 |         0.5 |reached max iterations\n",
      "   10.421 | 0.0000e+00 | 0.0000e+00 |           0 |       30000 |            0 |         150 |         0.5 |reached max iterations\n",
      "\n",
      "Simulation stopped as no error occurred @ EbNo = 10.4 dB.\n",
      "\n",
      "\n",
      "PROGRESS: 66.67%\n",
      "Estimated remaining time: 0:00:07 [h:m:s]\n",
      "\n",
      "\n",
      "Simulating category=1, index=2, CBS=3000, MCS=16...\n",
      "\n",
      "EbNo [dB] |        BER |       BLER |  bit errors |    num bits | block errors |  num blocks | runtime [s] |    status\n",
      "---------------------------------------------------------------------------------------------------------------------------------------\n",
      "   -1.246 | 2.1102e-01 | 1.0000e+00 |       94957 |      450000 |          150 |         150 |         0.8 |reached max iterations\n",
      "   -0.412 | 1.9497e-01 | 1.0000e+00 |       87738 |      450000 |          150 |         150 |         0.4 |reached max iterations\n",
      "    0.421 | 1.8022e-01 | 1.0000e+00 |       81097 |      450000 |          150 |         150 |         0.4 |reached max iterations\n",
      "    1.254 | 1.6595e-01 | 1.0000e+00 |       74677 |      450000 |          150 |         150 |         0.4 |reached max iterations\n",
      "    2.088 | 1.5181e-01 | 1.0000e+00 |       68316 |      450000 |          150 |         150 |         0.4 |reached max iterations\n",
      "    2.921 | 1.3863e-01 | 1.0000e+00 |       62383 |      450000 |          150 |         150 |         0.4 |reached max iterations\n",
      "    3.754 | 1.2621e-01 | 1.0000e+00 |       56794 |      450000 |          150 |         150 |         0.4 |reached max iterations\n",
      "    4.588 | 1.1146e-01 | 1.0000e+00 |       50157 |      450000 |          150 |         150 |         0.4 |reached max iterations\n",
      "    5.421 | 9.6727e-02 | 1.0000e+00 |       43527 |      450000 |          150 |         150 |         0.4 |reached max iterations\n",
      "    6.254 | 7.8140e-02 | 1.0000e+00 |       35163 |      450000 |          150 |         150 |         0.4 |reached max iterations\n",
      "    7.088 | 4.9962e-02 | 1.0000e+00 |       22483 |      450000 |          150 |         150 |         0.4 |reached max iterations\n",
      "    7.921 | 6.6133e-03 | 6.2667e-01 |        2976 |      450000 |           94 |         150 |         0.4 |reached max iterations\n",
      "    8.754 | 0.0000e+00 | 0.0000e+00 |           0 |      450000 |            0 |         150 |         0.4 |reached max iterations\n",
      "\n",
      "Simulation stopped as no error occurred @ EbNo = 8.8 dB.\n",
      "\n",
      "\n",
      "PROGRESS: 100.00%\n",
      "Estimated remaining time: 0:00:00 [h:m:s]\n",
      "\n",
      "\n",
      "Simulations completed!\n",
      "\n"
     ]
    }
   ],
   "source": [
    "# Define MCS indices at which the new BLER table is simulated\n",
    "sim_set = {'category': {\n",
    "    1:  # 0 for PUSCH, 1 for PDSCH\n",
    "    {'index': {\n",
    "        2: {'MCS': [16]}\n",
    "    }}}}\n",
    "\n",
    "# SINR and Code Block size values at which new simulations are performed\n",
    "sinr_dbs = np.linspace(5, 25, 25)\n",
    "cb_sizes = [24, 200, 3000]\n",
    "\n",
    "# Compute new BLER tables\n",
    "new_table = phy_abs.new_bler_table(\n",
    "    sinr_dbs,\n",
    "    cb_sizes,\n",
    "    sim_set,\n",
    "    max_mc_iter=15,  # max n. Monte-Carlo iterations per SNR points\n",
    "    batch_size=10,\n",
    "    verbose=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-03-14T11:12:49.258908Z",
     "iopub.status.busy": "2025-03-14T11:12:49.258650Z",
     "iopub.status.idle": "2025-03-14T11:12:49.598848Z",
     "shell.execute_reply": "2025-03-14T11:12:49.598127Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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LTdzr2rVr9O7dG09PT3766Sd0Ol2W5ZRSMlC6iMisMVFkhgwZwqhRo7h27Ro9e/bEy8sry3L16tUD4OjRo6arMHnl4uJC+/btad++Pd7e3rz11lusXbs22/915SSnX1D5ZTQaadSoER9//HGWz1etWtXs/qFDh0y/gI8ePZopYSmsSpUqcezYMSpWrGj2eEbCde8flaxUqFAh1zL3unv3Lh06dMDDw4O3336bmjVr4uTkxMGDB3n99dfzNVA7Oxl1vPrqqwQHB2dZ5v4kIr/Onj1Lly5dqFevHh9//DFVq1bFwcGBNWvW8Mknn+SpHUajkW7dumW7aF5GwmdN917VyqDT6RgyZAhff/01n3/+Obt27SIyMtKUrNqK7L6XBVGQz8z69euB9O/IlStXsv09lpWYmBh69uzJ3bt32bFjR45j/u7evZvl+CFheZIIiSLz6KOPMmbMGPbu3cuyZcuyLRcSEsJ7773H999/n+9E6F4tW7YE0rsOrCFjoPDp06dNXVwAer2e8+fP06RJE9NjNWvW5MiRI3Tp0iXX/+UlJCTw9NNPExQURNu2bfnggw949NFHLTIlOUOLFi3YuHGjabB0hoxZaff/j/t+9erV4+eff870eHZt27p1K7du3eKXX37h4YcfNj1+/vz5LMtHRkZmmtadsfhcdusTZVyFs7e3N5vNllc1a9Zk/fr13L59O9urQr/99hspKSmsWrXK7Irhvd1JGbJ7L2rWrEl8fHyuMQYEBLBlyxYSExPNrgrdP3Mx43N48uTJTHWcOHECb2/vPE+PHzZsGB999BG//fYba9euxcfHJ9sEwZZlTKCIj483uyp0/3uU38/MunXr+Oabb5g4cSKLFy9m+PDh/Pnnn2bLgmQnOTmZkJAQTp06xaZNmwgKCsq27NWrV0lNTTVNNBDWJV1josi4ubnxxRdfMH36dEJCQrIt16ZNG3r06ME333zDypUrMz2fmprKq6++arq/efPmLOvJGBuRVZeBJbRs2RIfHx/mzZtnWtwR0mdH3T9Nd+DAgVy9epWvv/46Uz1JSUlmXRevv/46ly5d4rvvvuPjjz8mMDCQ4cOHm02zL6yBAwcC6bPe7vXNN99gZ2eX64rUbdq04c6dO2bjMgDTH9z725/xv/h7r6alpqZmO9smLS3NbFxUamoqX375JT4+PqYZNffz9fWlY8eOfPnll1kmvzdv3syxTY8//jhKKd56661Mz2XEnVU7YmJiWLBgQabXuLq6Zjlde+DAgezZs8d0ZeFed+/eJS0tDUjv7tXr9WafGaPRaDY7DdLX8GnatCnfffed2fH++ecfNmzYQK9evXJotbnGjRvTuHFjvvnmG37++WeeeOKJPP2RtzW9evUiLS3NbFkDg8FgmvGVIT+fmbt37zJy5EgeeOABZs6cyTfffMPBgweZOXNmrvEYDAYGDRrEnj17WL58OW3atMmxfMY4uLZt2+Zatyi8kvcJFyVaXruoFi5cSPfu3XnssccICQmhS5cuuLq6cvr0aZYuXUpUVJRpLaG+fftSvXp1QkJCqFmzJgkJCWzatInffvuNVq1a5Zh0FYa9vT3vvPMOY8aMoXPnzgwaNIjz58+zYMGCTGOEnnrqKX788Ueee+45tmzZQrt27TAYDJw4cYIff/yR9evX07JlS/744w8+//xzpk2bRvPmzYH0dWs6duzIlClT+OCDD3KMafv27abBtjdv3iQhIYF33nkHSJ/ennE1plmzZjzzzDPMnz+ftLQ0OnTowNatW1m+fDmTJ0/OdZp+7969sbOzY9OmTYwePdr0eNOmTdHpdMyaNYuYmBgcHR3p3Lkzbdu2pVy5cgwfPpwXX3wRjUbDokWLsu1mrFSpErNmzeLChQvUqVOHZcuWcfjwYb766qscVxoOCwvjoYceolGjRowaNYoaNWpw/fp19uzZw5UrVzhy5Ei2r+3UqRNPPfUUn332GadPn6ZHjx4YjUZ27NhBp06dGDt2LN27d8fBwYGQkBDGjBlDfHw8X3/9Nb6+vpn+kLZo0YIvvviCd955h1q1auHr60vnzp157bXXWLVqFY888ggjRoygRYsWJCQkcPToUX766ScuXLiAt7c3/fr144EHHuCVV17hzJkz1KtXj1WrVnH79m3A/IrThx9+SM+ePWnTpg3PPvssSUlJ/O9//8PT05Pp06fneC7vN2zYMNN/NPLTLTZ37lzu3r1ruqr422+/mZa0GDdunGkCQXh4OE8//TQLFiyw2qrbISEhtGvXjkmTJnHhwgWCgoL45ZdfshzDldfPzPjx47l16xabNm1Cp9PRo0cPRo4cyTvvvEPfvn3NrgDf75VXXmHVqlWEhIRw+/ZtswUUIfP7vHHjRqpVq0azZs0s8G6IXBXXdDVR+t07fT4n90+fz5CYmKhmz56tWrVqpdzc3JSDg4OqXbu2GjdunDpz5oyp3A8//KCeeOIJVbNmTeXs7KycnJxUUFCQevPNN1VsbGyucWY3fX758uVm5bKazquUUp9//rmqXr26cnR0VC1btlTbt2/PVKdS6dPtZ82apRo0aKAcHR1VuXLlVIsWLdRbb72lYmJiVGxsrAoICFDNmzdXer3e7LUvv/yy0mq1as+ePTm2JWN6dFY/06ZNyxTP9OnTVUBAgLK3t1e1atVSn3zySa7vV4Y+ffqoLl26ZHr866+/VjVq1FA6nc5sKv2uXbvUgw8+qJydnVWlSpXUxIkTTUsF3DvdvkOHDqpBgwZq//79qk2bNsrJyUkFBASouXPnmh0nu/Nx9uxZNWzYMOXn56fs7e1V5cqV1SOPPKJ++umnXNuUlpamPvzwQ1WvXj3l4OCgfHx8VM+ePdWBAwdMZVatWqUaN26snJycVGBgoJo1a5aaP3++AtT58+dN5a5du6Z69+6t3N3dMy2nEBcXpyZPnqxq1aqlHBwclLe3t2rbtq2aPXu2aXkApZS6efOmGjJkiHJ3d1eenp5qxIgRateuXQpQS5cuNYt906ZNql27dsrZ2Vl5eHiokJAQFRERYVYm4/Nx8+bNbN+DqKgopdPpVJ06dXJ9v+4VEBCQ7Wfv3vflf//7nwLUunXrcqwvu+nzrq6umcpmtOtet27dUk899ZTy8PBQnp6e6qmnnlKHDh0q0Gfm119/zbSkg1LK9J1t0qSJ2Xm7X8aSENn93MtgMCh/f3/1f//3fzm+P8JyNEoVYOSnEKLM27FjBx07duTEiROZZs4J61m5ciWPPvooO3fupF27dhavPzo6Gn9/f6ZOncqUKVMsXv/AgQO5cOECf/31l8XrLg1WrlzJkCFDOHv2LP7+/sUdTpkgY4SEEAXSvn17unfvnmt3nSi4pKQks/sZ41w8PDxMXaeWFh4ejsFgyPPK7vmhlGLr1q2m7lqR2axZsxg7dqwkQUVIrggJIYSNGjlyJElJSbRp04aUlBR++eUXdu/ezcyZM5k8ebJFj/XHH38QERHBlClT6NSpE7/88otF6xfCVkkiJIQQNmrJkiV89NFHnDlzhuTkZGrVqsXzzz/P2LFjLX6sjh07mvYn+/77721mbzEhrE0SISGEEEKUWTJGSAghhBBlliRCQgghhCizZEHFHBiNRiIjI3F3d5fN74QQQogSQilFXFwclSpVQqvN+ZqPJEI5iIyMzLQZphBCCCFKhsuXL1OlSpUcy0gilAN3d3cg/Y308PCwaN16vZ4NGzbQvXv3HLcMKKlKe/ug9LdR2lfylfY2lvb2Qelvo7XaFxsbS9WqVU1/x3MiiVAOMrrDPDw8rJIIubi44OHhUWo/3KW5fVD62yjtK/lKextLe/ug9LfR2u3Ly7AWGSwthBBCiDJLEiEhhBBClFmSCAkhhBCizJIxQkIIYcMMBgN6vb5Ar9Xr9djZ2ZGcnIzBYLBwZMWvtLcPSn8bC9M+e3t7dDpdoWOQREgIIWyQUopr165x9+7dQtXh5+fH5cuXS+VaaKW9fVD621jY9nl5eeHn51eo90YSISGEsEEZSZCvry8uLi4F+kVvNBqJj4/Hzc0t10XlSqLS3j4o/W0saPuUUiQmJnLjxg0A/P39CxyDJEJCCGFjDAaDKQmqUKFCgesxGo2kpqbi5ORUav+Ilub2QelvY2Ha5+zsDMCNGzfw9fUtcDdZ6XtXhRCihMsYE+Ti4lLMkQhh2zK+IwUdRweSCAkhhM0qjWNChLAkS3xHJBESQgghRJkliZAQQgibNWLECPr161eoOgIDA/n0009zLKPRaFi5cmWhjmOt+pYsWUL58uUtUpfITBIhIYQQwoY9+uijnDhxoliOffv2bcaNG0fdunVxdnamWrVqvPjii8TExGRZ/tatW1SpUgWNRlOopR+KkswaE0IIIWyYs7OzxTf+zqvIyEgiIyOZPXs2QUFBXLx4keeee47IyEh++umnTOWfffZZGjduzNWrV4sh2oKRK0JCCCEswmg08sEHH1CrVi0cHR2pVq0a7777run5o0eP0rlzZ5ydnalQoQKjR48mPj7e9LzBYGDChAl4eXlRoUIFJk6ciFIq0zHee+89qlevjqurKw899FCWf5DvFxcXx+DBg3F1daVy5cqEhYXlWD63WAHmz59PgwYNcHR0xN/fn7Fjx2Zb37Rp0/D39+fvv//O8vkjR47QqVMn3N3d8fDwoEWLFuzfvx/I3DUWGBiIRqPJ9JPh8uXLDBw4EC8vL8qXL0/fvn25cOFCbm9Rlho2bMjPP/9MSEgINWvWpHPnzrz77rv89ttvpKWlmZX94osvuHv3Lq+++mqBjlVcJBESQphJSEhAo9Hg4OBAcnJycYcj+HfxuNS0Av0kpRoK/NrE1LRMiUhOJk+ezPvvv8+UKVOIiIhgyZIlVKxYEUj/XAUHB1OuXDn27dvH8uXL2bRpk1ny8NFHHxEeHs78+fPZuXMnt2/fZsWKFWbHeO+991i4cCHz5s3j6NGjvPDCCwwbNoxt27blGNuHH35IkyZNOHToEJMmTWL8+PFs3Lgxy7J5ifWLL74gNDSU0aNHc/ToUVatWkWtWrWyPHfjxo1j4cKF7Nixg8aNG2d5zKFDh1KlShX27dvHgQMHmDRpEvb29lmW3bdvH1FRUURFRXHlyhUefPBB2rdvD6RPIw8ODsbd3Z0dO3awa9cu3Nzc6NGjB6mpqQAsXrwYNze3HH927NiR7XsZExODh4cHdnb/dSpFRETw9ttvs3DhwhK33pF0jQkhhI1L0hsImrq+WI4d8XYwLg65/6mIi4tjzpw5zJ07l+HDhwNQs2ZNHnroISD9qkZycjILFy7E1dUVgLlz5xISEsKsWbOoWLEin376KZMnT+axxx4DYN68eaxf/1+7U1JSmDlzJps2baJNmzYYjUaGDBnCgQMH+PLLL+nQoUO28bVr145JkyYBUKdOHXbt2sUnn3xCt27dMpXNS6zvvPMOr7zyCuPHjze9rlWrVmb1pKWl8eSTT3Lo0CF27txJ5cqVs43v0qVLvPbaa9SrVw+A2rVrA+lXwO7n4+Njuj1+/HiioqLYt28fAMuWLcNoNPLNN9+YrhItWLAALy8vtm7dSvfu3enTpw+tW7fONhYg21ijo6OZMWMGo0ePNj2WkpLC4MGD+fDDD6lWrRrnzp3LsW5bI4mQEEKIQjt+/DgpKSl06dIl2+ebNGliSiwgPTkxGo2cPHkSJycnoqKizP5A29nZ0bJlS9NVqTNnzpCYmJgpeUlNTaVZs2Y5xtemTZtM97ObSZZbrBqNhsjIyGzbmuHll1/G0dGRvXv34u3tnWPZCRMmMHLkSBYtWkTXrl0ZMGAANWvWzPE1X331Fd9++y27d+82JUdHjhzhzJkzuLu7m5VNTk7m7NmzALi7u2d6Pi9iY2Pp3bs3QUFBTJ8+3fT45MmTqV+/Pk8++WS+67QFkggJIYSNc7bXEfF2cL5fZzQaiYuNw93DvcDdFc72edu2IGO7A2vKGKOzevVqKleubLZPVVEcP0Nej9WtWzd++OEH1q9fz9ChQ3MsO336dIYMGcLq1atZu3Yt06ZNY+nSpfTt2zfL8lu2bGHcuHH88MMPZt1t8fHxtGjRgsWLF2d6TUaytHjxYsaMGZNjPGvXrjV1t0H6Fb8ePXrg7u7OihUrzLrt/vjjD44ePWoaq5WRuHp7e/Pmm2/y1ltv5Xis4iaJkBDCjFarpUOHDiilZGVjG6HRaPLUPXU/o9FImoMOFwc7q4/bqF27Ns7OzmzevJmRI0dmer5+/fqEh4eTkJBgutKya9cutFotdevWxdPTE39/f/78808efvhhIL1r6cCBAzRv3hyAoKAgHB0duXTpEh06dMBoNBIbG4uHh0eu7du7d2+m+/Xr18+ybG6xuru7ExgYyObNm+nUqVO2x+zTpw8hISEMGTIEnU7HE088kWOMderUoU6dOrz88ssMHjyYBQsWZJkInTlzhv79+/PGG2+YuhEzNG/enGXLluHr65vtTLP8do3FxsYSHByMo6Mjq1atwsnJyazszz//TFJSkun+vn37eOaZZ9ixY0euV7VsgSRCQggzzs7ObN26Fb1ez5o1a4o7HFFCODk58frrrzNx4kQcHBxo164dN2/e5NixYzz77LMMHTqUadOmMXz4cKZPn87NmzcZN24cTz31lGlA9fjx43n//fepXbs29erV4+OPPzZbi8bd3Z1XX32Vl19+GaPRSNu2bYmMjOTIkSN4enqaxiZlZdeuXXzwwQf069ePjRs3snz5clavXp1l2bzEOn36dJ577jl8fX3p2bMncXFx7Nq1i3HjxpnV9eijj7Jo0SKeeuop7Ozs6N+/f6bjJSUl8dprr9G/f3+qV6/OlStX2LdvH48//niWZUNCQmjWrBmjR4/m2rVrpuf8/PwYOnQoH374IX379uXtt9+mSpUqXLx4kV9++YWJEydSpUqVfHWNxcbG0r17dxITE/n++++JjY0lNjYWSL/CpNPpMiU70dHRQHpC6eXllafjFCdJhIQQQljElClTsLOzY+rUqURGRuLv789zzz0HpG+OuX79esaPH0+rVq1wcXHh8ccf5+OPPza9/pVXXiEqKorhw4ej1Wp55plnePTRR80W75sxYwY+Pj689957nDt3Dk9PT5o3b86bb76ZY2yvvPIK+/fv56233sLDw4OPP/6Y4OCsuxvzEuvw4cNJTk7mk08+4dVXX8Xb2zvLJAegf//+GI1GnnrqKbRabaarODqdjlu3bjFs2DCuX7+Ot7c3jz32WJZdStevX+fEiROcOHGCSpUqmT2nlMLFxYXt27fz+uuv89hjjxEXF0flypXp0qVLgdYiOnjwIH/++SdApllx58+fJzAwMN912hqNys/cyDImNjYWT09P01RBS8r433avXr2ynSJZkpX29kHpb6O0r/gkJydz/vx5qlevnqkbIj/y03VUEpX29kHpb2Nh25fddyU/f79L37sqhCiUhIQEfHx8qFSpkqwjJIQo9Up9IvT7779Tt25dateuzTfffFPc4QhRIkRHR5v6+YUQojQr1WOE0tLSmDBhAlu2bMHT05MWLVrw6KOPUqFCheIOTQghhBA2oFRfEfrrr79o0KABlStXxs3NjZ49e7Jhw4biDksIIYQQNsKmE6Ht27cTEhJCpUqV0Gg0rFy5MlOZsLAwAgMDcXJyonXr1vz111+m5yIjI83WQqhcuXKJ2hFXCCGEENZl04lQQkICTZo0yXaX4GXLljFhwgSmTZvGwYMHadKkCcHBwdy4caOIIxVCCCFESWTTY4R69uxJz549s33+448/ZtSoUTz99NNA+gZ9q1evZv78+UyaNIlKlSqZXQG6evUqDzzwQLb1paSkkJKSYrqfsWiUXq9Hr9cXtjkmiUl3GfRjJ1DwxXdvcv/avemL+Zo/qsniTm5r/mZaFyGbhRJyXz8hvURuCy1kdbwvvktf26MgbSwJaxorpfh60f8VdxiZaTSkv4MZb6Tmv8dMq0Vn/Vhayn+bPM6L+YiFqxZaZIXphys/zMvNXy50PZaS8Z225HfbUvR6PUopjEZjlptu5lXG6igZdZU2pb19UPrbWNj2GY1GlFLo9Xp0uv+2g8nP99qmE6GcpKamcuDAASZPnmx6TKvV0rVrV/bs2QPAAw88wD///MPVq1fx9PRk7dq1TJkyJds633vvvSwXsNqwYQMuLi4Wiz0xNYGr9iXhz3yGkhRrUbPV90aRp8w3iyJGoxHn6ul7Kd3QJKCNT8pcqAAWnViE/pKehg4NLVKfpWzcuLG4Q8jEzs4OPz8/4uPjSU1NLXR9cXFxFojKdpX29kHpb2NB25eamkpSUhLbt28nLS3N9HhiYmKe6yixiVB0dDQGg8G03HmGihUrcuLECSD9l8lHH31Ep06dMBqNTJw4MccZY5MnT2bChAmm+7GxsVStWpXu3btbdEHFlNRk7HdHc/b8JfwqVyZNgT5NkWowojcY0RvSb6emGdMfS1PoDRm3jaQa/r2fZkBvyFy/Tgs6rQatRoNOp0EH6LRa0+M6jQatNv1Hp9Gg02qw02rQakh/7N+y2n+fyyij0/Lva7VoNWCX8Zwu/bU6jRbtv8fQKMWlS5fxr1IFw7/t0xsMpBoUqWnGf9uj/m3Pf+1O+beNGc+nGoyoAvwnyNFei6uDDjdHO1wddLg62eHmoMPV0Q4HO8v0CBuNRmJvRvJAwzo4OdjQgnzKmP5jTAODHpQBjHowGsCYhsZgAKX/9/l/n1OG/8oa0tDMaooxLQV1+S/sDOlrCanyNTA2ewpVqWW+87/Nlzbzw6kfWG9Yz6jOoyjnVM4KDc8fvV7Pxo0b6datm00uqHj58mXc3NwKtaCiUoq4uDjc3d1L5b5xpb19UPrbWNj2JScn4+zszMMPP5xpQcW8KrGJUF716dOHPn365Kmso6Mjjo6OmR63t7e36C9Ke3t7+nZ8njWJa+jVvXCr2hqNiuQ0Axo02OvSExZb+LKYVu3tVrj2KZWeDMUk6bkVn0p0fIrp35vxKUTH/ftYQvrtWwkp6A1FuVh6PezOaajr506Tql40qeJJk6pe1PZ1R6ct/vNQGHq9ng2rltPD8yy6v+ZB1HGIegOqtobO/wfVH85zXc39mrPvxj7O3D3D7IOz+aDDB1aMPH8s/f22BIPBgCbjPx2FWE04o6sho66SaMSIEdy9ezfLyTJ5bV9gYCAvvfQSL730UrZlNBoNK1asoF+/foWM2LL1GY1GlixZwhtvvGG271ppUdjPqFarRaPRZPoe5+c7XWITIW9vb3Q6HdevXzd7/Pr16/j5+RVTVEVPqy3YrtQlhUajwdFOh6+7Dl/33P9nrJQiJklP9L/JUnR8CtFxKdxK+Dd5ikslJS2Ly2gFoE8z8M+V28Tr4VhkLMciY1mSviUPLg46GlbypElVTxpX8aJpVS+qlHO2iSQ1P9LsXDF2mISuzQuw6xP462u4/Cd8FwLVO0DnKVC1Va712OvseafdOwxdM5S1F9YSXD2YLtW6FEELhCj5Hn300Uz7kxWV27dvM23aNDZs2MClS5fw8fGhX79+zJgxA09PT1O5S5cu8fzzz7Nlyxbc3NwYPnw47733HnZ2//192rp1KxMmTODYsWNUrVqV//u//2PYsGHF0SwzJfYvqIODAy1atGDz5s2mjNtoNLJ582bGjh1bvMGJYqPRaPByccDLxYFavm5WPZZer2f16jU0a9eJY9cSOHLlLkcu3+XolRgSUg38deE2f124bSpf3tWBxlU8aVLFy5QgebtlvgJZ3BITEwkKCgLggw/+vXLjWgG6vwNtxsL22XAgHM5vg2+3QZ0e0OlN8G+cY70NvBswosEIvv3nW2bsmUHLii3xdPTM8TVCCHB2drb4fpd5FRkZSWRkJLNnzyYoKIiLFy/y3HPPERkZyU8//QSkX8Hs3bs3fn5+7N69m6ioKIYNG4a9vT0zZ84E0jdo7d27N8899xyLFy9m8+bNjBw5kooVK9KmTZtiaVsGm75WGh8fz+HDhzl8+DCQ/kYePnyYS5cuATBhwgS+/vprvvvuO44fP87zzz9PQkKCaRaZENam0UAlL2d6NfJncs/6LB3dhr+nB7Px5Yf5sH9jnnowgMZVPLHXabidkMrWkzeZs/k0z4Tvp+U7m3ho1h+ELj7IV9vPcj46obibA6RfVbt48SIXL14k057M7n7QezaMOwDNngSNFk6tgy/bw/IRcPNUjnU/3/R5anjW4FbyLWb9Nct6jRDFwmg08sEHH1CrVi0cHR2pVq0a7777run5o0eP0rlzZ5ydnalQoQKjR48mPj7e9LzBYGDChAl4eXlRoUIFJk6cmOkzaDQaee+996hevTqurq489NBDpj/IOYmLi2Pw4MG4urpSuXLlbJdlyWusAPPnz6dBgwY4Ojri7++f43/Cp02bhr+/P3///XeWzx85coROnTrh7u6Oh4cHLVq0YP/+/QAsWbKE8uXLm8oGBgai0Wgy/WS4fPkyAwcOxMvLi/Lly9O3b18uXLiQ21uUpYYNG/Lzzz8TEhJCzZo16dy5M++++y6//fabaXDyhg0biIiI4Pvvv6dp06b07NmTGTNmEBYWZhrsP2/ePKpXr85HH31E/fr1GTt2LP379+fTTz8tUFyWZNOJ0P79+2nWrBnNmjUD0hOfZs2aMXXqVAAGDRrE7NmzmTp1Kk2bNuXw4cOsW7cu0wBqIYqSTquhdkV3BrSsyox+DVk19iH+eSuYlaHteLtvAx5rXpmaPq5oNHDlThKrj0Yxc80JOs3eSt+5O5m/8zw341JyP1BxKhcAfcMgdB80fDz9sWMr4PPWsOJ5uHMhy5c56hx5u93baNDw27nf2H5le9HFXJIpBakJBfvRJxb8takJua+bcY/Jkyfz/vvvM2XKFCIiIliyZInp93FCQgLBwcGUK1eOffv2sXz5cjZt2mSWPHz00UeEh4czf/58du7cye3bt1mxYoXZMd577z0WLlzIvHnzOHr0KC+88ALDhg1j27ZtOcb24Ycf0qRJEw4dOsSkSZMYP358tjMG8xLrF198QWhoKKNHj+bo0aOsWrWKWrVqZXHqFOPGjWPhwoXs2LGDxo2zvnI6dOhQqlSpwr59+zhw4ACTJk3KdpzLvn37iIqKIioqiitXrvDggw/Svn17IP1KdXBwMO7u7uzYsYNdu3bh5uZGjx49TEnJ4sWLcXNzy/Fnx44d2b6XGTu6Z3R77dmzh0aNGpn97Q0ODiY2NpZjx46ZynTt2tWsnuDgYPbu3ZvtcYqKTXeNdezYMfP/SO8zduxYi3eFhYWFERYWhsFgmbEkQjja6WhaNX2s0LB/rwLHJuv550oMR67EsOfcLXadiebIv/ffWR1Bu1re9GtameCGfrg52uhX1bsW9J8PD02ALTPh5Go4sgSOLofmw+Dh18DD3+wlTXya8FTQUyyMWMhbe95iZd+VuDu4F1MDSgh9IsyslO+XaQGvwh77jUhwcM21WFxcHHPmzGHu3LkMHz4cgJo1a/LQQw8B6Vc1kpOTWbhwIa6u6fXNnTuXkJAQZs2aRcWKFfn000+ZPHmyaTzMvHnzWL9+vekYKSkpzJw5k02bNtGmTRuMRiNDhgzhwIEDfPnll3To0CHb+Nq1a8ekSZMAqFOnDrt27eKTTz6hW7dumcrmJdZ33nmHV155hfHjx5te16qV+Xi5tLQ0nnzySQ4dOsTOnTvNdjq436VLl3jttdeoV68eALVr1wbIcm0dHx8f0+3x48cTFRXFvn37gPSFho1GI998843pKtGCBQvw8vJi69atdO/enT59+tC6detsYwGyjTU6OpoZM2YwevRo02PXrl3LcgZ3xnM5lYmNjSUpKanYuv7AxhOh4hIaGkpoaCixsbFmg8GEsCQPJ3va1vKmbS1vnu9Yk5txKaz+O5KVhyM5fPkuO05Hs+N0NG+uPErX+hXp17QyD9fxsdj0f4vyawiDl8CVA7DlHTj7B+z/Fg4vhlYj4aGXwdXbVHxss7FsvbyVS3GXmL1/Nm+1zbx+lyhZjh8/TkpKCl26ZD0I/vjx4zRp0sSUWEB6cmI0Gjl58iROTk5ERUWZ/YG2s7OjZcuWpv8QnzlzhsTExEzJS2pqqqnnIDv3j0Np06ZNtt0yucWq0WiIjIzMtq0ZXn75ZRwdHdm7dy/e3t45lp0wYQIjR45k0aJFdO3alQEDBlCzZs0cX/PVV1/x7bffsnv3blNydOTIEc6cOYO7u/l/LpKTkzl79iwA7u7umZ7Pi9jYWHr37k1QUBDTp0/P9+ttlSRCQtgIH3dHRrSrzoh21bkQncCvhyP59fBVzkUn8PvfUfz+dxReLvb0buRPv2aVaVGtHFpbm6JfpQU8tQIu7II/ZsClPbBnLuxfkD7lvs0LADjbOfN2u7d5et3T/HL6F4IDgmlbuW0xB2/D7F3Sr8zkk9FoJDYuDg9394JPn7fP22Kyzs7OBas/HzLG6KxevZrKlStjNBqJj4/Hzc2tSI6fIa/H6tatGz/88APr169n6NChOZadPn06Q4YMYfXq1axdu5Zp06axdOlS+vbtm2X5LVu2MG7cOH744Qez7rb4+HhatGjB4sWLM70mI1lavHgxY8aMyTGetWvXmrrbIP2KX48ePXB3d2fFihVm3XZ+fn5m+3wCphndGbO4/fz8spzl7eHhUaTnLiuSCAlhgwK9XRnftTYvdqnF0asxrDwUyW9/R3IzLoXFf15i8Z+XqOzlTN+mlejXrDJ1KtpY11JgO3h6LZzdDJtnQNRhWD8ZXCpAk0EAtKjYgsH1BrPkxBKm75nOir4rcLXPvQumTNJo8tQ9lYnRCPaG9NdaeR2h2rVr4+zsbJoNdL/69esTHh5OQkKC6UrLrl270Gq11K1bF09PT/z9/fnzzz95+OH0NarS0tI4cOAAzZs3ByAoKAhHR0cuXbpEhw4d0hO92Fg8PDxyTfTuH4uyd+9e6tevn2XZ3GJ1d3cnMDCQzZs306lTp2yP2adPH0JCQhgyZAg6nY4nnngixxjr1KlDnTp1ePnllxk8eDALFizIMhE6c+YM/fv354033sg0rb558+YsW7YMX1/fbLub8ts1FhsbS3BwMI6OjqxatSrTIp9t2rTh3Xff5caNG/j6+gLpK7Z7eHiYZqC2adOGNWvWmL1u48aNPPjggznGUSSUyFZMTIwCVExMjMXrTk1NVStXrlSpqakWr9sWlPb2KVX0bUwzGNX2UzfUhGWHVYOp61TA67+bfnp8ul3N23pGRd5NLPRxEhISVFBQkKpfv75atmxZ4dtnNCq1YapS0zyUettHqSv7/ztWaoIK/ilYNQxvqN7e/XYhI88fW/6MJiUlqYiICJWUlFSoegwGg7pz544yGAwWiixn06dPV+XKlVPfffedOnPmjNqzZ4/65ptvlFLpnyt/f3/1+OOPq6NHj6o//vhD1ahRQw0fPtz0+vfff1+VL19erVixQh0/flyNGjVKubu7q759+5rKvPnmm6pChQoqPDxcnTp1Sm3dulXNmTNHhYeHZxtXQECA8vDwULNmzVInT55Uc+fOVTqdTq1bt85UBlArVqzIc6zh4eHKyclJzZkzR506dUodOHBAffbZZ1nWt3z5cuXk5KSWL1+eZXyJiYkqNDRUbdmyRV24cEHt3LlT1axZU02cOFEZDAYVFhamPD09TWXr1aununTpoiIjI1VUVJTpJyP22rVrq44dO6rt27erc+fOqS1btqhx48apy5cv53YKM4mJiVGtW7dWjRo1UmfOnDE7XlpamlJKqbS0NNWwYUPVvXt3dfjwYbVu3Trl4+OjJk+ebKrn3LlzysXFRb322mvq+PHjKiwsTOl0OrVmzZpCfUaz+67k5++3JEI5kESo4Ep7+5Qq3jYmpaap345cVc+G71O13lhtSogCJ/2uBn+1Rx26dKfQx7Bo+wwGpRYPSk+GZtdVKjbK9NSfkX+qhuENVcPwhurPyD8Lf6w8suXPaElNhAwGg3rnnXdUQECAsre3V9WqVVMzZ840Pf/333+rTp06KScnJ1W+fHk1atQoFRcXZ3per9er8ePHKw8PD+Xl5aUmTJighg0bZpYIGY1G9emnn6q6desqe3t75e3trbp37662bduWbVwBAQHqrbfeUgMGDFAuLi7Kz89PzZkzx6zMvYlLXmJVSql58+aZ4vD391fjxo3Ltr5ly5YpJycn9fPPP2eKLyUlRT3xxBOqatWqysHBQVWqVEmNHTtWJSUlZUqEzp8/n7GRYKafDFFRUWrYsGHK29tbOTo6qho1aqhRo0YV6G/Zli1bsj3e+fPnTeUuXLigevbsqZydnZW3t7d65ZVXlF6vz1RX06ZNlYODg6pRo4ZasGBBoT+jlkiENErlY25kGZMxWDpjqqAlmbag6FW4LShsVWlvH9hOG+8mprL6aBS/Hoo0LeCo0cBTDwbwanBdPJwKFpvF25ccC990heiTUOUBGPE72KUvKDljzwx+PPUjVdyq8HOfn3HJ47iUwrCV85eV5ORkzp8/T/Xq1Qu111h+uo5KotLePij9bSxs+7L7ruTn73fpe1ctICwsjKCgoExTIYWwRV4uDgxtHcCPz7Vh5+udeLRZZZSChXsu0uWjbaw6EpnrMhRFwskDBv8ATp5w5S/4fYJpjZqXW7yMn6sfV+Kv8Nmhz4o5UCFEWSKJUBZCQ0OJiIgwrcsgRElRpZwLnwxqypKRranh7crNuBRe/OEQw+b/xYU8rlydmJhIgwYNaNKkCSkpFl7YsUJN6L8gfUXqw9/Dn18C4ObgxvQ20wFYcnwJB68ftOxxhRAiG5IICVEKta3lzdqX2vNy1zo42GnZcTqa7p9u57PNp3PddFYpRUREBMePH7fOlaRaXaDbjPTb69+Ac1sBaFe5HY/WehSFYuruqSSlJVn+2EIIcR9JhIQopRztdIzvWpv1Lz3MQ7W8SU0z8vHGU/Scs4PdZ6OLN7g2odBkMChD+h5lt88D8GqrV/F19uVi7EXCDuW8F5QQQliCJEJClHLVvV1Z9OwDzHmiKd5ujpy7mcCQr/9kwo+HiY4vpj3NNBp45FOo3AKS7sAPgyElDg8HD6a1nQbAouOLOHLzSPHEJ4QoMyQREqIM0Gg09G1amc2vdOCpBwPQaOCXg1fp8tE2fvjrEkZjMQymtneCQYvBzQ9uHocVz4HRyMNVHiakRghGZWTqrqmkGGx8A1ohRIkmiZAQZYinsz0z+jXkl+fbEuTvQUySnsm/HGXAl3s4cS226APy8IcnFoPOAU78DtveB+D1B16nglMFzsWcY96ReUUflxCizJBESIgyqFm1cqwa244pjwTh6qDjwMU79P5sJ++tOU5ialrRBlOlJYTMSb+9bRZE/IqnoydTHpwCwIJ/FnDs1rGijUkIUWZIIpQFWUdIlAV2Oi3PPlSdTa90oEcDPwxGxZfbzxHyv11UrFSFgIAANJoi2tS16RB4MDT99orn4No/dAnoQo/AHhiUgSm7pqA36IsmFiFEmSKJUBZkHSFRlvh7OjPvqRZ8O7wllb2cuZaocHpqHt3eWk4ijkUXSLe3oUYn0CfC0sGQcIvJrSdT3qk8p++c5qujXxVdLMJmjBgxgn79+hWqjsDAQD799NMcy2g0GlauXFmo41irviVLllC+fHmL1CUyk0RICAFAl/oV2TjhYZ7rUBM7rYaNx28w64iOi7cSiyYAnR30nw/lqsPdS7B8OOXt3ZncejIA3/z9DSdunyiaWISwIY8++ignThTfZ3/MmDHUrFkTZ2dnfHx86Nu3b6Z4Ll26RO/evXFxccHX15fXXnuNtDTzbvatW7fSvHlzHB0dqVWrFuHh4ZmOFRYWRmBgIE5OTrRu3Zq//vrLmk0DJBESQtzDxcGOST3rsfrF9tT3cyfJoGHCT3+jNxiLKIDyMHgpOLjBhR2wbjLBAcF0rdaVNJXG1F1T0Ruli0yULc7Ozvj6+hbb8Vu0aMGCBQs4fvw469evRylF9+7dMRjSF2c1GAz07t2b1NRUdu/ezXfffUd4eDhTp0411XH+/Hl69+5Np06dOHz4MC+99BIjR45k/fr1pjLLli1jwoQJTJs2jYMHD9KkSROCg4O5ceOGVdsniZAQwkxSUhJPhnQm8ruXcDQm8/eVWOZsOl10AfjWg8e+BjSw72s0B7/jzQffxNPRk+O3j7PgnwVFF4vIF6PRyAcffECtWrVwdHSkWrVqvPvuu6bnjx49SufOnXF2dqZChQqMHj2a+Ph40/MGg4EJEybg5eVFhQoVmDhxYqbVzY1GI++99x7Vq1fH1dWVhx56iJ9++inX2OLi4hg8eDCurq5UrlyZsLCcF+zMLVaA+fPn06BBAxwdHfH392fs2LHZ1jdt2jT8/f35+++/s3z+yJEjdOrUCXd3dzw8PGjRogX79+8HMneNBQYGotFoMv1kuHz5MgMHDsTLy4vy5cvTt29fLly4kNtblK3Ro0fz8MMPExgYSPPmzXnnnXe4fPmyqc4NGzYQERHB999/T9OmTenZsyczZswgLCyM1NRUAObNm0f16tX56KOPqF+/PmPHjqV///5mXZYff/wxo0aN4umnnyYoKIh58+bh4uLC/PnzCxx7XkgiJIQwYzQa2b9/P38fPsTjgen/4wvbeoY/z90quiDq9YLOb6bfXv0q3jdO83qr1wGYd2QeZ+6cKbpYbIBSikR9YoF+ktKSCvzaRH1ivrZZmTx5Mu+//z5TpkwhIiKCJUuWULFiRQASEhIIDg6mXLly7Nu3j+XLl7Np0yaz5OGjjz4iPDyc+fPns3PnTm7fvs2KFSvMjvHee++xcOFC5s2bx9GjR3nhhRcYNmwY27ZtyzG2Dz/8kCZNmnDo0CEmTZrE+PHj2bhxY5Zl8xLrF198QWhoKKNHj+bo0aOsWrWKWrVqZXnuxo0bx8KFC9mxYweNGzfO8phDhw6lSpUq7Nu3jwMHDjBp0iTs7e2zLLtv3z6ioqKIioriypUrPPjgg7Rv3x4AvV5PcHAw7u7u7Nixg127duHm5kaPHj1MScnixYtxc3PL8WfHjh3ZvjcLFiygevXqVK1aFYA9e/bQqFEj07kGCA4OJjY2lmPHjpnKdO3a1ayu4OBg9u7dC0BqaioHDhwwK6PVaunatSt79uzJMhZLsbNq7UKIEq1JBUVyhUr8ciiSl5cdZu34h/F0yfqXs8W1fxWu/QMRK+HHp3hk1BY2VOnI1itb+fro18x6eFbRxGEDktKSaL2kdbEc+88hf+Ji75Jrubi4OObMmcPcuXMZPnw4ADVr1uShhx4C0q9qJCcns3DhQlxdXQGYO3cuISEhzJo1i4oVK/Lpp58yefJkHnvsMSD9KsK9XScpKSnMnDmTTZs20aZNG4xGI0OGDOHAgQN8+eWXdOjQIdv42rVrx6RJkwCoU6cOu3bt4pNPPqFbt26ZyuYl1nfeeYdXXnmF8ePHm153/0zjtLQ0nnzySQ4dOsTOnTupXLlytvFdunSJ1157jXr16gFQu3ZtIP0/Jvfz8fEx3R4/fjxRUVGmyT3Lli3DaDTyzTffmK4SLViwAC8vL7Zu3Ur37t3p06cPrVvn/Hm6P9bPP/+ciRMnkpCQQN26ddm4cSMODg4AXLt2zSwJAkz3r127lmOZ2NhYkpKSiI+Px2AwZFnG2uOjJBESQuRoSu96HLh0l4u3Enlj5VHmDm5WNNPqNRro9zncOgvXj6JZNpRuHV9k65WtxKTGWP/4Il+OHz9OSkoKXbp0yfb5Jk2amBILSE9OjEYjJ0+exMnJiaioKLM/0HZ2drRs2dJ0VerMmTMkJiZmSl5SU1Np1qxZjvG1adMm0/3sZpLlFqtGoyEyMjLbtmZ4+eWXcXR0ZO/evXh7e+dYdsKECYwcOZJFixbRtWtXBgwYQM2aNXN8zVdffcW3337L7t27TcnRkSNHOHPmDO7u7mZlk5OTOXv2LADu7u6Zns/N0KFD6datG1FRUcyePZuBAweya9cunJyc8lWPLZJESAiRIzdHO+Y80Yz+X+xm9d9RdKjjw8CWVYvm4A6uMHgJfNURoo7AwUVFc1wb42znzJ9D/sz364xGI3Fxcbi7u6PVFmwkhLOdc97KOeetXGFkjNFZvXo1lStXxmg0Eh8fj5ubW5EcP0Nej9WtWzd++OEH1q9fz9ChQ3MsO336dIYMGcLq1atZu3Yt06ZNY+nSpfTt2zfL8lu2bGHcuHH88MMPZt1t8fHxtGjRgsWLF2d6TUaytHjxYsaMGZNjPGvXrjV1twF4enri6elJ7dq1efDBBylXrhwrVqxg8ODB+Pn5ZZrddf36dQD8/PxM/2Y8dm8ZDw8PnJ2dcXJyQqfTZVkmow5rkTFCWZAFFYUw17SqFy93qwPA9FXHOB+dUHQH96oGAxeB1g6uls21vTQaDS72LgX6cbZzLvBrXexd8nz1r3bt2jg7O7N58+Ysn69fvz5HjhwhIeG/z86uXbvQarXUrVsXT09P/P39+fPP/xK+tLQ0Dhw4YLofFBSEo6Mjly5dolatWtSqVYsaNWpQq1Yt03iV7GSMRbn3fv369QsUq7u7O4GBgdm2NUOfPn1YsmQJI0eOZOnSpTmWhfQuu5dffpkNGzbw2GOPsWBB1hMDzpw5Q//+/XnjjTdM3YgZmjdvzunTp/H19TW9Rxk/np6eprgOHz6c40/Lli2zjVMphVKKlJT0fQDbtGnD0aNHzWZ3bdy4EQ8PD4KCgkxl7n+/Nm7cyIMPPgiAg4MDLVq0MCtjNBrZvHlzpqt5FqdEtmJiYhSgYmJiLF53amqqWrlypUpNTbV43bagtLdPqdLbxvj4eAUoQC1dutTUvjSDUQ2ct1sFvP676vO/HSo1zVC0gf31jfr1Q3/VMLyhGrOyf6Grs+Xzl5SUpCIiIlRSUlKh6jEYDOrOnTvKYCiaczV9+nRVrlw59d1336kzZ86oPXv2qG+++UYppVRCQoLy9/dXjz/+uDp69Kj6448/VI0aNdTw4cNNr3///fdV+fLl1YoVK9Tx48fVqFGjlLu7u+rbt6+pzJtvvqkqVKigwsPD1alTp9TWrVvVnDlzVHh4eLZxBQQEKA8PDzVr1ix18uRJNXfuXKXT6dS6detMZQC1YsWKPMcaHh6unJyc1Jw5c9SpU6fUgQMH1GeffZZlfcuXL1dOTk5q+fLlWcaXmJioQkND1ZYtW9SFCxfUzp07Vc2aNdXEiROVwWBQYWFhytPT01S2Xr16qkuXLioyMlJFRUWZfjJir127turYsaPavn27OnfunNqyZYsaN26cunz5cm6nMJOzZ8+qmTNnqv3796uLFy+qXbt2qZCQEFW+fHl1/fp1pZRSaWlpqmHDhqp79+7q8OHDat26dcrHx0dNnjzZVM+5c+eUi4uLeu2119Tx48dVWFiY0ul0as2aNabP6NKlS5Wjo6MKDw9XERERavTo0crLy0tdu3Yt2/iy+67k5++3JEI5kESo4Ep7+5QqvW2Mj49X3t7eytvb2ywRUkqpq3cSVePp61XA67+rWWuPF3lsvy4fkJ4IzW9R6Lps+fyV1ETIYDCod955RwUEBCh7e3tVrVo1NXPmTNPzf//9t+rUqZNycnJS5cuXV6NGjVJxcXGm5/V6vRo/frzy8PBQXl5easKECWrYsGFmiZDRaFSffvqpqlu3rrK3t1fe3t6qe/fuatu2bdnGFRAQoN566y01YMAA5eLiovz8/NScOXPMytybuOQlVqWUmjdvnikOf39/NW7cuGzrW7ZsmXJyclI///xzpvhSUlLUE088oapWraocHBxUpUqV1NixY1VSUlKmROj8+fOm/6jc/5MhKipKDRs2THl7eytHR0dVo0YNNWrUqAL9Lbt69arq2bOn8vX1Vfb29qpKlSpqyJAh6sSJE2blLly4oHr27KmcnZ2Vt7e3euWVV5Rerzcrs2XLFtW0aVPl4OCgatSooRYsWJDpM/q///1PVatWTTk4OKgHHnhA7d27N8f4LJEIaZTKx9zIMiY2NhZPT09iYmLw8PCwaN16vZ41a9bQq1evbKdIlmSlvX1Q+tuYXfvWHI3ihcUH0WhgycgHaVOzQpHFtOrIt7x5+FPaJSUz75kj4JD7bKbs2PL5S05O5vz581SvXr1Qg1GNRiOxsbF4eHgUeIyQLSvt7YPS38bCti+770p+/n6XvndVCGFVvRr5M7BlFZSCCT8e5m5iatEd3PXfmTdKwRXrL70vhCj9JBESQuTbtJAGVPd2JSommcm/HM3XonuFcu/A3Qs7i+aYQohSTRIhIYSZpKQkOnbsSNeuXU2zQu7n6mjHp4OaYqfVsPafa/y4/3IRRwlc2FX0xxRClDqSCAkhzBiNRrZt28b27dtzvNLTpKoXr3SvC8D0VRGcuxmfbVmruLof9ElFe0whRKkjiZAQosDGPFyDNjUqkKQ3MH7pYVLTimiXejtHMKTClbK5rpAQwnIkERJCFJhWq+HjQU3wdLbn6NUYPt54qmgO7Fwu/V/pHhNCFJIkQkKIQvH3dGbW440A+HL7WXafibb+QTMSoYuSCAkhCkcSoSzIFhtC5E+Phv480aoqSsHLPx7mToKVp9RnJEJX9oE+2brHEkKUapIIZSE0NJSIiAj27ZPxB0Lk1dSQIGp4u3I9NoVJv/xt3Sn19i7g6gtpyXD1QO7lhRAiG5IICSEycXFxwcUlf6s2uzik71Jvr9Ow/th1lu6z4pR6DRDYLv22dI+JMiI8PBwvL6/iDqPUkURICGHG1dWVhIQE7t69m+/tHRpV8eTVf6fUv/1bBGetOaU+4N9ESBZWtBk3b97k+eefp1q1ajg6OuLn50dwcDC7dv2XrAYGBqLRaDLtBv/SSy/RsWNH0/3p06ej0WjQaDTodDqqVq3K6NGjuX37dp5iMRqNLFu2jJCQEKpVq4aPjw8tW7Zk+vTp3Lp1yyLtLWqDBg3i1Kn/JiRMnz6dpk2bFl9ApYQkQkIIixrVvgbtamVMqT9kvSn1ge3T/738F6QV4TYfIluPP/44hw4d4rvvvuPUqVOsWrWKjh07Zko8nJyceP3113Otr0GDBkRFRXHp0iUWLFjAunXreP7553N9XXR0NJ07d+aNN96gU6dOfP/992zZsoWpU6dy4sQJgoKC2L17d4HbWVycnZ3x9fUt7jBKHUmEhBAWpdVq+GhAU7xc7PnnaiwfbThpnQP51AUXb0hLgsiD1jmGyLO7d++yY8cOZs2aRadOnQgICOCBBx5g8uTJ9OnTx6zs6NGj2bt3L2vWrMmxTjs7O/z8/KhcuTJdu3ZlwIABbNy4McfXpKWl0adPH2rWrMmJEyeYMGECDz/8MA0bNqRPnz4sXbqU+fPn8+ijj3Lu3DnT64xGIx988AG1atXC0dGRatWq8e6775qef/3116lTpw4uLi7UqFGDKVOmoNfrTc9nXJ358ssvqVq1Ki4uLgwcOJCYmBhTmX379tGtWze8vb3x9PSkQ4cOHDxo/tm9e/cuY8aMoWLFijg5OdG4cWPWrVsHmHeNhYeH89Zbb3HkyBHTlbPw8HCeeeYZHnnkEbM69Xo9vr6+fPvttzm+d2WVJEJCCDPJycn07t2bvn37kppasCstfp5OzHq8MQBfbj/HztNWmFKv0UBA2/TbZaR7LCEhIduf5OTkPJdNSkrKU9n8cHNzw83NjZUrV2a7NUuG6tWr89xzzzF58mSMxrxdMbxw4QLr16/HwcEhx3LffvstGo2Gr776CqPRyLhx46hcuTJNmzZl/vz5NGjQgN69ezN69Gjeeust0+smT57M+++/z5QpU4iIiGDJkiVUrFjR9Ly7uzvh4eFEREQwZ84cvv76az755BOzY585c4Yff/yR3377jXXr1nHo0CFeeOEF0/NxcXEMHz6cnTt3snfvXmrXrk2vXr2Ii4sD0pOxnj17smvXLr7//nsiIiKYOXMmOp0uUzsHDRrEK6+8YrpqFhUVxaBBgxg5ciTr1q0jKirKVPb3338nMTGRQYMG5em9LnOUyFZMTIwCVExMjMXrTk1NVStXrlSpqakWr9sWlPb2KVV62xgfH68ABailS5cWqn2Tfv5bBbz+u2r1zkZ1Kz6l0LH9euZX1TC8oRqzcUz6A3vnKTXNQ6mF/fJdly2fv6SkJBUREaGSkpLMHs84L1n99OrVy6ysi4tLtmU7dOhgVtbb2zvLcvn1008/qXLlyiknJyfVtm1bNXnyZHXkyBGzMgEBAeqTTz5RN27cUO7u7mrhwoVKKaXGjx9vFte0adOUVqtVrq6uysnJyRTTxx9/bCpjMBjUnTt3lMFgMD3Wtm1b9dtvvymllHr77bdVnTp11JYtW9Qff/yh6tWrpwICApRSSp05c0ZVrFhRKaVUbGyscnR0VF9//XWe2/rhhx+qFi1amMWr0+nUlStXTI+tXbtWabVaFRUVlWUdBoNBubu7m+Jdv3690mq16uTJk1m2ccGCBcrT09PsmE2aNMlUb1BQkJo1a5bpfkhIiBoxYkSe21aUsjqH+ZHddyU/f7/lipAQwmqmPFKfGj6u3IhL4Y1fjlr+AIEPpf976U8w6HMuK6zu8ccfJzIyklWrVtGjRw+2bt1K8+bNCQ8Pz1TWx8eHV199lalTp2Z75bFu3bocPnyYffv28frrrxMcHMy4ceNyjOHo0aO0bZt+pfC3335j2rRpdOzYkU6dOvF///d/pnL+/v7cuXMHgOPHj5OSkkKXLl2yrXfZsmW0a9cOPz8/3Nzc+L//+z8uXbpkVqZatWpUrlzZdL9NmzYYjUZOnkzvHr5+/TqjRo2idu3aeHp64uHhQXx8vKmew4cPU6VKFerUqZNjG3MzcuRIFixYYDrm2rVreeaZZwpVZ2kmiZAQwmpcHOz47Ilm2Gk1rDt2je2nblr2AD710xdX1CdA5GHL1m2D4uPjs/35+eefzcreuHGD2NhYrly5QmxsrFnZtWvXmpW9cOFClnUWhJOTE926dWPKlCns3r2bESNGMG3atCzLTpgwgaSkJD7//PMsn3dwcKBWrVo0bNiQ999/H51OZ9adlZW0tDScnZ0BSE1NxdXV1fScm5ub6fbBgwepVasWgKl8dvbs2cPQoUPp1asXv//+O4cOHeLNN9/Md9fx8OHDOXz4MHPmzGH37t0cPnyYChUqmOrJLY68GjZsGOfOnWPPnj18//33VK9enfbt21uk7tJIEiEhhFU1rOzJsDaBAMz4PYI0gwVnkWm1/02jv1j6xwm5urpm+3P/Ugc5lb3/D2525SwhKCgo2/FGbm5uTJkyhXfffdc0TiYn//d//8fs2bOJjIzMtkytWrU4ejT96uNDDz3EnDlzuHPnDnfu3GHOnDkAHDt2jOeff57XXnsNgNq1a+Ps7MzmzZuzrHP37t0EBATw5ptv0rJlS2rXrs3Fixczlbt06ZJZbHv37kWr1VK3bvqSErt27eLFF1+kV69eNGjQAEdHR6Kj/xs/17hxY65cuWI2RT4nDg4OGAyGTI9XqFCBfv36sWDBAsLDw3n66afzVF9ZJYmQEMLqxnepTTkXe07fiGfxn5dyf0F+mNYTkoUVi9OtW7fo3Lkz33//PX///Tfnz59n+fLlfPDBB/Tt2zfb140ePRpPT0+WLFmS6zHatGlD48aNmTlzZrZlHn30UcLCwoD0mVypqalUqFCBKlWq0Lp1ay5evEiPHj0YN24cI0aMAP6bzj9x4kQWLlzI2bNn2bt3r2mWVe3atbl06RJLly7l7NmzfPbZZ6xYsSLTsZ2cnBg+fDhHjhxhx44dvPjiiwwcOBA/Pz9TPYsWLeL48eP8+eefDB061Cwp7dChAw8//DCPP/44Gzdu5Pz586xdu5ZNmzZl2dbAwEDOnz/P4cOHiY6ONhukPnLkSL777juOHz/O8OHDc31vyzJJhIQQVufpYs+Efxda/GTTKe4mWnDdH9M4oT1gSLNcvSJf3NzcaN26NZ988olpuvqUKVMYNWoUc+fOzfZ19vb2zJgxI9Ost+y8/PLLfPPNN1y+nPXK5S+99BKbN2/mm2++wdvbm507d3L9+nVu3rzJjBkzuHbtGpcvX2b06NFmr5syZQqvvPIKU6dOpX79+gwaNIgbN24A0KdPH15++WXGjh1L06ZN2b17N1OmTMl07Fq1avHYY4/Rq1cvunfvTuPGjc26/b799lvu3LlD8+bNeeqpp3jxxRczrQv0888/06pVKwYPHkxQUBCTJk3K8qoPpI/J6tGjB506dcLHx4cffvjB9FzXrl3x9/cnODiYSpUq5em9LbMKNEy7jJBZYwVX2tunVOltoyVnjd1Ln2ZQ3T/epgJe/11N+/WfAtWRadaYUkoZ0pR6r2r67LEr+/Ncly2fv+xmwuRXYWfk2Lrs2nfw4EHl7++vhg4dqv7880+l1+uVUkqdOnVKjRs3Tg0YMMDisWQ3g6uwCnoO4+LilIeHh/r5558tHpMlyawxGyW7z4uyzNXVFaUUqamp+d5iIyd2Oi1TQ4IAWLT3Iqev5z4mJFv37ueq1UG1jPWEpHtMQLNmzUwDkUNCQnB0dMTe3p4HH3yQtLQ0Pvvss+IO0WqMRiM3btxgxowZeHl5ZVrMUmQmiVAWZPd5IayjXS1vugVVxGBUzFh93HI71MsGrOI+vr6+zJkzh2vXrhEVFcXFixe5efMmn3/+uWnMTml06dIlKlasyJIlS5g/fz52dnbFHZLNk0RICFGk3uxVH3udhu2nbrLl5A3LVJoxTujibjBmPZ5ClE0ajQZfX18qVaqEVmu9P3nTp0/n8OHDVqs/rwIDA1FKcfny5RzXRRL/kURICGEmOTmZAQMG8MQTTxR4i42cBHq78ky76gC88/txy2zK6tcYHD0gJRauWWHhRiFEqSWJkBDCjMFg4KeffuKXX37J8z5Q+TW2cy283Rw4F53Awj0X8vw6DZqsn9DqoNqD6bdLUfeYxboOhSilLPEdkURICFHk3J3sefXf6fRzNp/mVnzOm3TmSUb3WCnYgNXe3h6AxMTEYo5ECNuW8R3J+M4UhIyiEkIUiwEtq7Jwz0UiomL5eOMp3n20UeEqDLh3nJAxfdXpEkqn0+Hl5WVax8bFxQWNJpurYTkwGo2kpqaSnJxs1fExxaW0tw9KfxsL2j6lFImJidy4cQMvLy90Ol2BY5BESAhRLHRaDdNCghj01V5++OsSTz4YQH1/j4JX6N8EHNwg+S7cOAZ+hUysilnGzKaMZKgglFIkJSXh7OxcoETK1pX29kHpb2Nh2+fl5VXoWYCSCAkhik3rGhXo1ciPNUevMeP3CBaPbF3wX/Y6O6jaGs5uTl9PqIQnQhqNBn9/f3x9fdHr9QWqQ6/Xs337dh5++OFCdR3YqtLePij9bSxM++zt7Qt1JSiDJEJCiGI1uWd9Nh2/we6zt9gQcZ3gBoX4313gQ/8mQjvgwecsF2Qx0ul0Bf5lr9PpSEtLw8nJqVT+ES3t7YPS30ZbaF/p63AUQpQoVcu7MKp9+nT6mWuOk5JWiHWAAu8bJySEELmQREgIYcbFxYX4+Hju3LmDo6NjkRzzhY618HV35OKtRBbsulDwiio1A3sXSLoNN09YLD4hROkliZAQwoxGo8HV1RVXV9ciG5zp6mjHxB71AJj7xxluxhVwOr3OHqo+kH67FK0nJISwHkmEhBA24bFmlWlSxZP4lDRmrz9Z8IpM6wntsExgQohSTRIhIYSZlJQURowYwbPPPlvg2UoFodVqTLvT/3jgMv9cjSlYRfeuJyQrMwshciGJkBDCTFpaGt999x2LFi3CYCjaDUxbBJSnT5NKKAVv/xZRsOXzKzcHOydIuAnRpywfpBCiVJFESAhhUyb1rIeTvZa/LtxmzdFr+a/AzhGqtEq/Ld1jQohcSCIkhLAplbycGfNwTSB9On2yvgBXpQLbp/97QQZMCyFyJolQFsLCwggKCqJVq1bFHYoQZdJzHWri7+nE1btJfLPjXP4rCGyX/u/FXTJOSAiRI0mEshAaGkpERAT79u0r7lCEKJOcHXRM6pk+nf7zrWe5HpucvwoqtwSdI8Rfh1tnrRChEKK0kERICGGT+jSpRPNqXiSmGpi1Lp+LI9o7yTghIUSeSCIkhLBJGo2GaSENAPjl4FWOXL6bvwru7R4TQohsSCIkhDDj4uLCjRs3uHr1apFtsZGdJlW9eKx5ZQDe/j2f0+kD/k2ELsg4ISFE9iQREkKY0Wg0+Pj44OPjU2RbbOTk9R71cHHQceDiHQ5eupP3F1ZpBVp7iIuEO+etF6AQokSTREgIYdMqejjxQsf06fS//x2V9xc6uECVlum3L+y0QmRCiNJAEiEhhJmUlBRCQ0N58cUXi3SLjZyMbF+Dyl7O3E3MZzz3do8JIUQWJBESQphJS0vj888/Z968eUW+xUZ2nOx1vNGrvul+cloe45L1hIQQuZBESAhRIvRq5EdNH1cAzt2Mz9uLqrYGrR3EXIa7F60YnRCipJJESAhRImg0Gvo1S59BdjMuhdV5GS/k4AqVmqfflu4xIUQWJBESQpQYVcq5mG5P+fUfouNTcn+RrCckhMiBJEJCiBLH1dGO2wmpTFn5T+5rCwU8lP6vzBwTQmRBEiEhRIlTt6I7dloNa/+5xm+5dZFVaw0aXfoYobuXiyZAIUSJIYmQEKLEcXOyY2znWgBM/fUfbsTlsCmroztUapp+W7rHhBD3kURICGHG2dmZ8+fPc+rUKRwcHIo7nGyFdqpFkL8HdxP1vLkily4y03pC0j0mhDAniZAQwoxWqyUwMJDAwEC0Wtv9FWGv0/LRwCbY6zRsjLjOr4cjsy8c+O84IbkiJIS4j+3+lhNCiFzU9/fgxc61AZi26hg3YrPpIqv2IGi0cPscxOaQMAkhyhxJhIQQZlJTU3nttdeYNGmSzWyxkZPnOtakUWVPYpL0vLHiaNZdZE6e4Nc4/basJySEuIckQkIIM3q9ntmzZ/Pxxx/bzBYbObHXaZk9oAkOOi2bjt/gl4NXsy5o6h6TcUJCiP9IIiSEKPHq+rkzvmt6F9lbvx3jWkwWXWQyYFoIkQVJhIQQpcKYh2vQpIonsclpTP7l78xdZAFtAA3cOgNx14olRiGE7ZFESAhRKtjd00W25eRNlh+4Yl7AuRz4NUy/LbPHhBD/kkRICFFq1K7ozoTudQCY8VsEUTFJ5gVM221IIiSESCeJUBbCwsIICgqiVatWxR2KECKfRrWvQbNqXsSlpPH6z/fNIguUcUJCCHOSCGUhNDSUiIgI9u3bV9yhCCHySafVMHtAExzttGw/dZNl++7ZXyxjwHT0SUi4WTwBCiFsiiRCQggzzs7O/PPPPxw6dMimt9jISU0fN17tXheAd1Yf5+rdf7vIXMqDbwMANJf2FFd4QggbIomQEMKMVqulQYMGNGjQwKa32MjNMw9Vp0VAOeJT0nj9p3tmkf3bPaa5tLsYoxNC2IqS+1tOCCFyoNNq+LB/Y5zstew8E82Svy6lP/Fv95hWZo4JIZBESAhxn9TUVKZPn87bb79dIrbYyEkNHzdeC64HwMzVx7l8O9GUCGluHschLa44wxNC2ABJhIQQZvR6PW+99RbvvPNOidhiIzdPtw3kgcDyJKQaeP3nvzG6eINPenJUIf5kMUcnhChukggJIUo1rVbDB/0b42yvY/fZWyz+86LpqlCF+BPFHJ0QorhJIiSEKPUCvV15vUf6LLKZa04QXSF9jTBvSYSEKPMkERJClAnD2gTSunp5kvQG3jjkAYBH0mVIulu8gQkhipUkQkKIMkGr1fBh/ya4OOjYcAnuugSiQaG5LOsJCVGWSSIkhCgzqlVwYXKv+gBsiK8BgObqgeIMSQhRzCQREkKUKUMfqEbbmhU4Yaic/sCtM8UbkBCiWEkiJIQw4+TkxF9//cXu3buxt7cv7nAsTqvVMOvxxkTpKgFw54pMoReiLJNESAhhRqfT0apVK1q2bIlOpyvucKyiankXej7cFgCX+EvsO3+rmCMSQhQXSYSEECWOad+wQujRrhUGtLhoUnhrySai41MsEJkQoqSRREgIYSY1NZUPP/yQjz76qMRvsZETjZ0DiQ4+ALglXOKlpYcxGAufYAkhShZJhIQQZvR6PRMnTmTy5MmlYouNnCQ6VQSgjt11dp6J5n9/nC7miIQQRU0SISFEmRXv6AfAk7XTAJiz+TQ7Tt8szpCEEEVMEiEhRJmV4JhxRegGgx+oilLw0tLDXItJLubIhBBFRRIhIUSZFf9vIsTts0wLaUCQvwe3ElIZ98NB9AZj8QYnhCgSkggJIcqsBEf/9Bu3z+Okg8+HNsfd0Y59F+4we4OsLyREWSCJkBCizEp0qIDSOYAhBWKuEOjtygf9GwPw5bZzbIy4XswRCiGsTRIhIUTZpdGCV0D67dtnAejZyJ+n2wUC8MqPh7l8O7GYghNCFAVJhIQQZpycnNiyZQsbN260uS02NBqNxetU5dM3X+XWWdNjk3vWp2lVL2KT0whdcpCUtNK9jIAQZZkkQkIIMzqdjo4dO9KhQ4dSu8XGvUyJ0O1zpscc7LSEDW2Ol4s9f1+J4d3Vx4spOiGEtUkiJIQo28rXTP/3vl3oK3s588mgpgAs3HOR345EFnFgQoiiIImQEMKMXq8nLCyML774grS0tOIOx+qy6hrL0KmuL6Gd0hOlST//zdmb8UUZmhCiCEgiJIQwk5qaytixYxk/fnwZSYT+vSJ09yIYMrf35a51aF29PAmpBkIXHyQpVcYLCVGaSCIkhCjb3P3BzgmMaenJ0H3sdFr+N7gZ3m6OnLgWx9Rf/ymGIIUQ1iKJkBCibNNoIYsB0/fy9XDis8FN0Wpg+YEr/Lj/chEGKISwJkmEhBCiQtYDpu/VtqY3E7rVAWDKyn84HhVbFJEJIaxMEiEhhDDNHMs8YPpeL3SsRYc6PqSkGQldfJC4ZH0RBCeEsCZJhIQQIuOK0O2cEyGtVsMng5ri7+nEuegEJv9yFKVUEQQohLAWSYSEECKPV4QAyrs6MHdIc+y0Gn7/O4pFezMPsBZClBySCAkhzDg6OvL777+zcuVKm9tiw2oq1Er/N+YypKXkWrxFQDkm9awHwIzfIzhy+a4VgxNCWJMkQkIIM3Z2dvTu3ZtevXqViS02AHDzBQc3UEa4cyFPL3n2oeoEN6iI3qAIXXKQmEQZLyRESVQmEqFHH32UcuXK0b9//+IORQhhizSa/6bQ56F7LP0lGj7o34Rq5V24cieJV5YfxmiU8UJClDRlIhEaP348CxcuLO4whCgR9Ho94eHhLFy4sEysLG2SxwHT9/J0tufzoc1xsNOy6fgNtp26aaXghBDWUiYSoY4dO+Lu7l7cYQhRIqSmpvL0008zcuTIspUI5WPA9L0aVvZkcKuqAKz9J8rSUQkhrMziidDVq1fzVX779u2EhIRQqVIlNBoNK1euzFQmLCyMwMBAnJycaN26NX/99ZeFohVCiH9lDJjOYVHF7AQ38ANg0/EbGKR7TIgSxWKJ0LVr1xg3bhy1a9fO1+sSEhJo0qQJYWFhWT6/bNkyJkyYwLRp0zh48CBNmjQhODiYGzdumMo0bdqUhg0bZvqJjIwsVJuEEGWIqWss6202ctKqenk8ne25nZDK/gu3LRyYEMKa7PJT+M6dO7zwwgts3LgRBwcHJk2axNixY5k+fTqzZ8+mcePGLFiwIF8B9OzZk549e2b7/Mcff8yoUaN4+umnAZg3bx6rV69m/vz5TJo0CYDDhw/n65jZSUlJISXlv6mzsbHpS+jr9Xr0esvOCMmoz9L12orS3j4ovW28vz221D5DWvrO70qpQseV6fx5VMMeIPYq+sQYsHfJV32d63qz4nAU6/6JonlVj0LFZiml9TOaobS3D0p/G63VvvzUl69EaNKkSezevZsRI0awfv16Xn75ZdatW4dWq+WPP/7gwQcfzHewOUlNTeXAgQNMnjzZ9JhWq6Vr167s2bPHoscCeO+993jrrbcyPb5hwwZcXPL3SzGvNm7caJV6bUVpbx+UvjYmJyeb3bel9h1OPQzAzeibrFmzxiJ1mtqnFD11LjgYEtmxahFxzlXzVU+5RA2g49cDF2hiPItGY5HwLMKWzqE1lPb2Qelvo6Xbl5iYmOey+UqE1q5dS3h4OJ07d2bs2LHUqFGDpk2bMnPmzHwHmRfR0dEYDAYqVqxo9njFihU5ceJEnuvp2rUrR44cISEhgSpVqrB8+XLatGmTqdzkyZOZMGGC6X5sbCxVq1ale/fueHhY9n94er2ejRs30q1bt1K5aF1pbx+U3jYmJCSY3bep9p2Hn/b8hLe3N7069ypUVVmdP931uhB1iIcbVEbVy1/9nVINLHl/C7dTjNRo3p76/sU/QaO0fkYzlPb2Qelvo7Xal9Gjkxf5SoQiIyOpX78+gGnw8pNPPpm/6IrBpk2b8lTO0dERR0fHTI/b29tb7QNozbptQWlvH5S+Nt7fFltqn84ufYFHjUZjsZjM2uddG6IOYXf3POSzfnt7e9rX9mFjxHU2n4ymcbXyFonPEmzpHFpDaW8flP42Wrp9+akrX4OllVLY2f2XO+l0OpydnfNTRb54e3uj0+m4fv262ePXr1/Hz8/PascVoixzdHTkxx9/ZMmSJaX6F2+WCrCW0L0yZo9tiLieS0khhK3I1xUhpRRdunQxJUNJSUmEhITg4OBgVu7gwYMWCc7BwYEWLVqwefNm+vXrB4DRaGTz5s2MHTvWIscQQpizs7NjwIAB6PV6i43DKTFMawnlf+YYQJd6vmg1cDwqlsu3E6la3jpjC4UQlpOvRGjatGlm9/v27VvoAOLj4zlz5r91O86fP8/hw4cpX7481apVY8KECQwfPpyWLVvywAMP8Omnn5KQkGCaRSaEEBZT4d9tNgp4RaicqwMPVC/P3nO3WX/sGiPb17BgcEIIayhUImQJ+/fvp1OnTqb7GYOVhw8fTnh4OIMGDeLmzZtMnTqVa9eu0bRpU9atW5dpALUlhYWFERYWhsFgsNoxhLBVaWlprFixgrS0tCzHzJVqGVeE4q9DShw45n/Ac3ADP/aeu82GiOuSCAlRAuRrjNC9ixhmJS0tLd+rPnfs2BGlVKaf8PBwU5mxY8dy8eJFUlJS+PPPP2ndunW+jpFfoaGhREREsG/fPqseRwhblJKSwsCBAxkyZEipXbskW85e4OKdfjufW21k6BaU/p+0/Rducys+JZfSQojilq9EyN/f3ywZatSoEZcvXzbdv3XrVpbT0oUQosQo5IDpKuVcaFjZA6OCzcdz/s+jEKL45XvW2L0uXLiQ6X+M95cRQogSpZADpgG6B6XPHlt/7JolIhJCWJHFN13V2NJyqkIIkV+FHDAN/02j33EmmoSUNEtEJYSwEosnQkIIUaIVYhf6DHUquhFQwYXUNCPbTt20UGBCCGvIVyKk0WiIi4sjNjaWmJgYNBoN8fHxxMbGmn6EEMJaNBTBFWdT11jBrwhpNJr/FleU7jEhbFq+F1SsU6eO2f1mzZqZ3S8NXWMyfV6IMqz8v11jSbch6Q44lytQNd2DKvLV9nNsPnEDvcGIvU4uwAthi/KVCG3ZssVacdiU0NBQQkNDiY2NxdPTs7jDEaJIOTg4sGDBAgwGg9mWOmWGoxu4+UH8tfQB01VaFKiaZtXK4e3mQHR8KnvP3aJ9bR8LByqEsIR8/Zbr0KFDjs8nJiZy+PDhwsQjhChm9vb2jBgxomxusZGhQs30ROj22QInQjqthm5BFfnhr8tsOHZdEiEhbJRFr9WePn2a9u3bW7JKIYQoehlrCRViwDT8N41+Q8Q1jEZZWkQIW1QGr3sLIXKSlpbG+vXrSUtLK7vj5CwwYBqgba0KuDrouB6bwt9XY2ha1avwsQkhLEpG7wkhzKSkpPDII4/Qr1+/srfFRoZCri6dwdFOR8d6voAsriiErZJESAgh7nfv6tKFXC1fptELYdvy1TW2atWqHJ8/f/58oYIRQgibUL56+r8pMZB4C1y9C1xVx7o+2Os0nL2ZwJkb8dTydbNQkEIIS8hXItSvX79cy8g6QkKIEs/eGTyrQszl9AHThUiEPJzsaVvTm22nbrIh4hq1fGtZMFAhRGHlq2vMaDTm+lMakofQ0FAiIiLYt29fcYcihCguGQsrFnLANED3BhUB2HDseqHrEkJYVoHGCN26dct0+/Lly0ydOpWJEyeyY8cOiwUmhBDFykIDpgG61a+IRgOHL9/lWkxyoesTQlhOvhKho0ePEhgYiK+vL/Xq1ePw4cO0atWKTz75hC+//JJOnTqxcuVKK4UqhBBFyEJT6AF8PZxo9u/U+Y3H5aqQELYkX4nQxIkTadSoEdu3b6djx4488sgj9O7dm5iYGO7cucOYMWN4//33rRWrEKIIODg4MHfuXObMmVM2t9jIYMErQgDdZfaYEDYpX4nQvn37ePfdd2nXrh2zZ88mMjKSF154Aa1Wi1arZdy4cZw4ccJasQohioC9vT2hoaE8//zzZTwR+ndQswWm0MN/0+j3nL1FTFIZXZ9JCBuUr0To9u3b+Pmlf5nd3NxwdXWlXLn/dmYuV64ccXFxlo1QCCGKg1cAaLSgT4C4wl/Fqe7tSm1fN9KMii0nblggQCGEJeR7sPT90+NLw3R5IcR/DAYDW7duZdu2bTY7C1RRBPt22TmAV7X02xbqHjMtrhgh3WNC2Ip8X/ceMWIEjo6OACQnJ/Pcc8/h6uoKpC/NL4Qo2ZKTk+nUqRMAS5cuLeZoiln5mnDnQvqA6cCHCl1d9wYVmbvlDFtP3iRZb8DJXlf4GIUQhZKvRGj48OFm95988slMZYYNG1a4iIQQwlZUqAVnNxd6F/oMjSp74u/pRFRMMrvORNOlfkWL1CuEKLh8JUILFiywVhw2RVaWFkIA98wcO2eR6jQaDd2DKvLdnotsOHZdEiEhbIBsupoFWVlaCAFYdC2hDBnT6Dcdv47BWARjnYQQOZJESAghslPh32027pwHo9EiVT5QvTyezvbcSkjlwMU7FqlTCFFwkggJIUR2PKuB1g7SkiH2qkWqtNdp6VLPF4D1sriiEMVOEiEhhMiOzg7KVU+/baEB03DPKtMR11AWWKxRCFFwZXjZWCFEVuzt7fnggw8wGAzodDK9mwo14dbp9LWEanaySJUP1/HG0U7L5dtJHI+KI6iSh0XqFULkn1wREkKYcXBw4LXXXuOVV17B3t6+uMMpfqYB05aZOQbg4mDHw3V8AFlcUYjiJomQEELkJGPAtIVWl87QPSh96vz6Y7IbvRDFSbrGhBBmDAYDBw8eJC0tTdbSAqtMoQfoWr8iWg0cj4rl8u1EqpZ3sWj9Qoi8kStCQggzycnJPPDAA7Rt2xa9XnZJN+1Cf+c8GNIsVm05VwceqF4egA0RclVIiOIiiZAQQuTEozLYOYExDWIuWbTqjE1YZRq9EMVHEqEshIWFERQURKtWrYo7FCFEcdNq75lCb7kB0wDd/h0ntP/CbW7Fy6bVQhQHSYSyIFtsCGGbNGiK58CmPccsO06oSjkXGlTywKhg8/EbFq1bCJE3kggJIURuyv87c8yCiypmCL5ncUUhRNGTREgIIXKTMWDawjPHALo3SO8e2346moQUyw3GFkLkjSRCQgiRGyt1jQHUrehOQAUXUtOMbD910+L1CyFyJusICSHM2NvbM23aNNli414ZawndvQRpqWDnYLGqNRoN3YMq8vWO86w/do2ejfwtVrcQIndyRUgIYcbBwYHp06czdepU2WIjg7sf2LuCMsLdixavPmOc0OYTN9AbjBavXwiRPUmEhBAiNxrNf1ttWGHAdLNq5fB2cyAuOY0/z922eP1CiOxJIiSEMGM0Gjl27BjHjh3DaJSrEyZW2moDQKfVmNYUksUVhShakggJIcwkJSXRsGFDmjVrRmpqanGHYzusOGAaoHtQevfYxojrGI3KKscQQmQmiZAQQuSFFa8IAbSpWQFXBx3XYpP5+2qMVY4hhMhMEiEhhMgL0xUhy26zkcHJXkfHer4AbJDuMSGKjCRCQgiRFxmLKsZcBn2SVQ7RXcYJCVHkJBHKgmy6KoTIxKUCOHqm37593iqH6FTPF51Ww9mbCVyLSbbKMYQQ5iQRyoJsuiqEjSuOscT3TqG30oBpDyd7qnu7AnDyepxVjiGEMCeJkBBC5JWVB0xD+pYbAKeuSSIkRFGQLTaEEGbs7e159dVXMRqNssXG/TIGTFthUcUMdSq6s/polFwREqKISCIkhDDj4ODAhx9+iF6vZ82aNcUdjm3JGDBtpZljAHX93AA4JYmQEEVCusaEECKviqBrrE5G19j1OFlYUYgiIFeEhBBmjEYjly5dQq/XyxYb98sYLB1/DVLiwdHN4ocIqOCKg52WZL2Ry3cSCajgavFjCCH+I1eEhBBmkpKSqF69OnXq1JEtNu7nXA6cy6fftlL3mE6robZveoJ1UgZMC2F1kggJIUR+FMGA6br3dI8JIaxLEiEhhMgP04BpK44T8ktPhE5ej7faMYQQ6SQREkKI/DANmLbizDFZS0iIIiOJkBBC5IeVV5eG/64Inb0ZT2qaDFgXwpokERJCiPwogin0lTydcHO0I82ouHArwWrHEUJIIiSEEPmTMVg6MRqS7lrlEBqNhjoVZeaYEEVB1hESQpixs7PjhRdekC02suPoDm4VIf56evdY5RZWOUxdP3cOXrorM8eEsDK5IiSEMOPo6EhYWBifffYZ9vb2xR2ObSqCAdMZK0zLFSEhrEsSISGEyK8iGDBd10/WEhKiKEjXmBDCjFKK6Oho9Ho9SsleV1kqX3SLKl68nUhSqgFnB+mmFMIa5IpQFsLCwggKCqJVq1bFHYoQRS4xMRFfX18qV65MSkpKcYdjmzIWVbTizLEKbo54uzmgFJy5IQsrCmEtkghlITQ0lIiICPbt21fcoQgh7qHRaIo7hHQZM8dunwUrXjUzjROS7jEhrEYSISGEyK9y1dP/TY6BxNtWO0wd2XNMCKuTREgIIfLLwQU8KqffLoIB0zJzTAjrkURICCEKovy/M8esOGBaptALYX2SCAkhREEUwYDpjNWlr8UmE5Oot9pxhCjLJBESQoiCuHfAtJW4O9lT2csZgFM35KqQENYg6wgJIczY2dkxfPhw2WIjN0Ww+SqkXxW6ejeJk9fiaBVY3qrHEqIskitCQggzjo6OhIeH8+2338oWGzkxXRE6Z90p9LLCtBBWJYmQEEIURLlA0GghNT59A1YrqSsDpoWwKkmEhBBmlFIkJCSQkJAgW2zkxM4RPKum37bqgOn/rgjJ+RDC8iQREkKYSUxMxM3NjXLlytnsFhsKG0kIimDAdC1fN7QauJOo52a8bZ4PIUoySYSEEKKgimDAtJO9jsAKrgCcuiZ7jglhaZIICSFEQVWw/i70IHuOCWFNkggJIURBZSyqePucVQ9jmjkmA6aFsDhJhIQQoqAyttm4fQ6MRqsdpq5cERLCaiQREkKIgvIKAK0dpCVDXKTVDlPXL32rjdPX4zAabWSguBClhCRCQghRUDq79GQIrDpgOqCCKw46LQmpBq7eTbLacYQoiyQREkKY0el09O/fn8ceewytVn5F5KoIBkzb67TU8Pl35ph0jwlhUfJbTghhxsnJieXLl7N06VIcHByKOxzbV0QDpuv6yTghIaxBEiEhhCiMjAHTVt98VWaOCWENkggJIURhFMHq0nDvzDFZVFEIS5JESAhhJiEhAY1Gg4ODA8nJycUdju3LWF369nkwGqx2mIyusbM34kkzWG+qvhBljSRCQghRGJ5VQOcARj3cvWS1w1T2csbFQUeqwciFW4lWO44QZY0kQkIIURhaHZSrnn77zgXrHUarofY9O9ELISxDEqEshIWFERQURKtWrYo7FCFESeDgkv6vQW/Vw9StmL6w4kkZMC2ExUgilIXQ0FAiIiLYt29fcYcihBAmdeSKkBAWJ4mQEEKUELKWkBCWJ4mQEEKUEBlT6C9EJ5Cst94MNSHKErviDkAIYVt0Oh29evVCKSVbbNgYH3dHvFzsuZuo5+zNeBpU8izukIQo8eS3nBDCjJOTE6tXr+bXX3+VLTZsjEajkXFCQliYJEJCCFGCZHSPnZCZY0JYhCRCQogSQ4OmuEModnX8ZM8xISxJEiEhhJmEhARcXV3x8vKSLTZsUF1T15jsOSaEJchgaSFEJomJsoWDrcpIhK7eTSIuWY+7k30xRyREySZXhIQQogTxdLHHz8MJkKtCQliCJEJCCFHCmMYJycwxIQpNEiEhhChhZM8xISxHEiEhhChhZC0hISxHEiEhRImjUMUdQrGqK11jQliMzBoTQpjRarV06NABpRQajazbY4tq+bqh0UB0fCrR8Sl4uzkWd0hClFhyRUgIYcbZ2ZmtW7eyadMmHB3lD6wtcnGwo1p5F0CuCglRWJIICSFECWQaJyQDpoUoFEmEhBCiBMpYWPGkrCUkRKFIIiSEMJOQkICPjw+VKlWSLTZsmKwlJIRlyGBpIUQm0dHRxR2CyEXde7rGZGC7EAUnV4SEEKIEqu7tip1WQ1xKGlExcuVOiIKSREgIIUogBzstNXxcATgp3WNCFJgkQkIIUULJzDEhCk8SISGEsJiiXfH6v5ljkggJUVCSCAkhRKEVz0BlmTkmROHJrDEhhBmtVkvLli1lJlIJkHFF6PT1eAxGhU4r50uI/JIrQkIIM87Ozuzbt489e/bIFhs2rmp5F5zstaSkGbl0O7G4wxGiRJJESAghSiidVkNt33/HCcmAaSEKRBIhIYQowUwzx2SckBAFIomQEMJMYmIigYGB1K5dm5SUlOIOR+Sirp8bIDPHhCgoGSwthDCjlOLixYum28K2yVpCQhSOXBESQogSrO6/U+jPRyeQkmYo5miEKHkkERJCiBLMz8MJdyc70oyKczcTijscIUocSYSEEKIE02g0/+1EL+OEhMg3SYSEEKKEy1hhWqbQC5F/pT4Runz5Mh07diQoKIjGjRuzfPny4g5JCCEsSq4ICVFwpX7WmJ2dHZ9++ilNmzbl2rVrtGjRgl69euHq6lrcoQlhkzQaDUFBQbLFRglSRzZfFaLASv0VIX9/f5o2bQqAn58f3t7e3L59u3iDEsKGubi4cOzYMY4cOWJ7W2xIXpalOhXT1xK6fDuJhJS0Yo5GiJKl2BOh7du3ExISQqVKldBoNKxcuTJTmbCwMAIDA3FycqJ169b89ddfBTrWgQMHMBgMVK1atZBRCyGE7ajg5oi3W3rSevpGfDFHI0TJUuyJUEJCAk2aNCEsLCzL55ctW8aECROYNm0aBw8epEmTJgQHB3Pjxg1TmaZNm9KwYcNMP5GRkaYyt2/fZtiwYXz11VdWb5MQQhS1jBWmZWFFIfKn2McI9ezZk549e2b7/Mcff8yoUaN4+umnAZg3bx6rV69m/vz5TJo0CYDDhw/neIyUlBT69evHpEmTaNu2bY7l7t1SIDY2FgC9Xo9er89rk/Ikoz5L12srSnv7oPS2MTExkTZt2gAwffp0m2qf4d8FA5VRFTouS54/nVJogbS0NFQxvV+1fFzZdeYWx6Ni0Ov9gNL7Gc1Q2tsHpb+N1mpffuor9kQoJ6mpqRw4cIDJkyebHtNqtXTt2pU9e/bkqQ6lFCNGjKBz58489dRTOZZ97733eOuttzI9vmHDBlxcXPIXfB5t3LjRKvXaitLePih9bUxOTub48eNA+vfHltp3NPUoANG3olmzZo1F6rRE+x6OiaEcsH//fq6fLp4xOinXNYCO3cfOs0adNXvOls6hNZT29kHpb6Ol25eYmJjnsjadCEVHR2MwGKhYsaLZ4xUrVuTEiRN5qmPXrl0sW7aMxo0bm8YfLVq0iEaNGmUqO3nyZCZMmGC6HxsbS9WqVenevTseHh4Fb0gW9Ho9GzdupFu3btjb21u0bltQ2tsHpbeNCQnmqxPbUvvsLtqxbNcyKlSoQK+uvQpVlyXPn+7aJ5AILVu2RNXuXqi6Csr/8l2WfvUXd4zO9OrVASi9n9EMpb19UPrbaK32ZfTo5IVNJ0KW8NBDD2E0GvNU1tHRMctZMvb29lb7AFqzbltQ2tsHpa+N97fFltqns9MB6VP8LRWTRdr37zIDdnZ2UEzvVf1KXgDciEshPlVRztXB9JwtnUNrKO3tg9LfRku3Lz91Fftg6Zx4e3uj0+m4fv262ePXr1/Hz8+vmKISQgjb4+5kT2UvZ0AWVhQiP2w6EXJwcKBFixZs3rzZ9JjRaGTz5s2mwZxCCCHSZexEL4mQEHlX7F1j8fHxnDlzxnT//PnzHD58mPLly1OtWjUmTJjA8OHDadmyJQ888ACffvopCQkJpllkQggh0tWp6M4fJ27ICtNC5EOxJ0L79++nU6dOpvsZg5WHDx9OeHg4gwYN4ubNm0ydOpVr167RtGlT1q1bl2kAtSWFhYURFhaGwWCw2jGEsFUajYaAgADTbVFy1Mu4InRNFlUUIq+KPRHq2LEjSqkcy4wdO5axY8cWUUQQGhpKaGgosbGxeHp6FtlxhbAFLi4uXLhwAb1eb7Ep6mVGLr/LrO3ePcdy+70qhEhn02OEhBCiRLCRK2c1fFzRaTXEJOm5EZeS+wuEEJIICSFEaeFkryOwQvrirydlqw0h8kQSISGEmaSkJFq1akWbNm3MtpwRJYPMHBMif4p9jJAQwrYYjUb2798PIONMSqA6Fd1Zc/SaXBESIo/kipAQQpQidSvKFSEh8kMSISGEKEXqmLrG4jEa5YqeELmRRCgLYWFhBAUF0apVq+IORQgh8iWgvAsOdlqS9Aau3E0q7nCEsHmSCGUhNDSUiIgI9u3bV9yhCCFEvtjptNTycQPg9HVZWFGI3EgiJIQQpYxp5tgNSYSEyI3MGhNCZOLt7V3cIYhCqFPxv3FCAW7FHIwQNk6uCAkhzLi6unLz5k0iIyNxcnIq7nBEAdT1S89+TknXmBC5kkRICCFKmYwrQueiE0gzFnMwQtg4SYSEEKKUqezljKuDjjSj4mZycUcjhG2TREgIYSYpKYmOHTvStWtX2WKjhNJoNKb1hKISbWNDWCFslSRCWZB1hERZZjQa2bZtG9u3b5ctNkqwjBWmJRESImeSCGVB1hESQpR0dUyJUDEHIoSNk0RICCFKodoV02eO3UiWK0JC5EQSISGEKIVcHdOXiZNZY0LkTBIhIYQQQpRZkggJIUoMDdLNI4SwLNliQwiRiYuLS3GHkCOFzGYTQliGXBESQphxdXUlISGBu3fvyhYbQohSTxIhIYQQQpRZkghlQRZUFEIIIcoGSYSyIAsqirIsOTmZ3r1707dvX1JTU4s7nBJGxi4JUdJIIiSEMGMwGFizZg1r167FaJRFaPJGZrMJUVJJIiSEEEKIMksSISGEEEKUWZIICSGEEKLMkkRICCGEEGWWJEJCCCGEKLMkERJCCCFEmSWJkBDCjKurK0opUlNTZYsNIUSpJ4mQEEKUQrKykRB5I4lQFmSLDSGEEKJskEQoC7LFhhBCCFE2SCIkhBBCiDJLEiEhhBBClFmSCAkhhBCizJJESAghhBBlliRCQgghhCizJBESQgghRJkliZAQQgghyixJhIQQQghRZkkiJIQQQogySxIhIYQQQpRZkggJIYQQosySREgIIYQQZZZdcQdgi8LCwggLCyMtLQ2A2NhYix9Dr9eTmJhIbGws9vb2Fq+/uJX29kHpb6Mtti8hLgFDkoGUhJRCfy8t2r6kNEhREJcAVvh9URDxcbEYUxJJQ9nUObQkW/yMWlppb6O12pfx+0EplWtZjcpLqTLqypUrVK1atbjDEEIIIUQBXL58mSpVquRYRhKhHBiNRiIjI3F3d0ej0Vi07tjYWKpWrcrly5fx8PCwaN22oLS3D0p/G6V9JV9pb2Npbx+U/jZaq31KKeLi4qhUqRJabc6jgKRrLAdarTbXTLKwPDw8SuWHO0Npbx+U/jZK+0q+0t7G0t4+KP1ttEb7PD0981ROBksLIYQQosySREgIIYQQZZYkQsXE0dGRadOm4ejoWNyhWEVpbx+U/jZK+0q+0t7G0t4+KP1ttIX2yWBpIYQQQpRZckVICCGEEGWWJEJCCCGEKLMkERJCCCFEmSWJkBBCCCHKLEmErGD69OloNBqzn3r16uX4muXLl1OvXj2cnJxo1KgRa9asKaJoCyYwMDBTGzUaDaGhoVmWDw8Pz1TWycmpiKPO3vbt2wkJCaFSpUpoNBpWrlxp9rxSiqlTp+Lv74+zszNdu3bl9OnTudYbFhZGYGAgTk5OtG7dmr/++stKLchZTu3T6/W8/vrrNGrUCFdXVypVqsSwYcOIjIzMsc6CfM6tKbdzOGLEiEzx9ujRI9d6S8I5BLL8Pmo0Gj788MNs67Slc/jee+/RqlUr3N3d8fX1pV+/fpw8edKsTHJyMqGhoVSoUAE3Nzcef/xxrl+/nmO9Bf3uWlpu7bt9+zbjxo2jbt26ODs7U61aNV588UViYmJyrLegn2tryMs57NixY6Z4n3vuuRzrtfY5lETISho0aEBUVJTpZ+fOndmW3b17N4MHD+bZZ5/l0KFD9OvXj379+vHPP/8UYcT5s2/fPrP2bdy4EYABAwZk+xoPDw+z11y8eLGows1VQkICTZo0ISwsLMvnP/jgAz777DPmzZvHn3/+iaurK8HBwSQnJ2db57Jly5gwYQLTpk3j4MGDNGnShODgYG7cuGGtZmQrp/YlJiZy8OBBpkyZwsGDB/nll184efIkffr0ybXe/HzOrS23cwjQo0cPs3h/+OGHHOssKecQMGtXVFQU8+fPR6PR8Pjjj+dYr62cw23bthEaGsrevXvZuHEjer2e7t27k5CQYCrz8ssv89tvv7F8+XK2bdtGZGQkjz32WI71FuS7aw25tS8yMpLIyEhmz57NP//8Q3h4OOvWrePZZ5/Nte78fq6tJS/nEGDUqFFm8X7wwQc51mv1c6iExU2bNk01adIkz+UHDhyoevfubfZY69at1ZgxYywcmfWMHz9e1axZUxmNxiyfX7BggfL09CzaoAoIUCtWrDDdNxqNys/PT3344Yemx+7evascHR3VDz/8kG09DzzwgAoNDTXdNxgMqlKlSuq9996zStx5dX/7svLXX38pQF28eDHbMvn9nBelrNo4fPhw1bdv33zVU5LPYd++fVXnzp1zLGPL5/DGjRsKUNu2bVNKpX/n7O3t1fLly01ljh8/rgC1Z8+eLOso6He3KNzfvqz8+OOPysHBQen1+mzLFORzXVSyamOHDh3U+PHj81xHUZxDuSJkJadPn6ZSpUrUqFGDoUOHcunSpWzL7tmzh65du5o9FhwczJ49e6wdpkWkpqby/fff88wzz+S4OW18fDwBAQFUrVqVvn37cuzYsSKMsuDOnz/PtWvXzM6Rp6cnrVu3zvYcpaamcuDAAbPXaLVaunbtWiLOa0xMDBqNBi8vrxzL5edzbgu2bt2Kr68vdevW5fnnn+fWrVvZli3J5/D69eusXr06T1cTbPUcZnQJlS9fHoADBw6g1+vNzke9evWoVq1atuejIN/donJ/+7Ir4+HhgZ1dztuC5udzXZSya+PixYvx9vamYcOGTJ48mcTExGzrKIpzKImQFbRu3dp0WfOLL77g/PnztG/fnri4uCzLX7t2jYoVK5o9VrFiRa5du1YU4RbaypUruXv3LiNGjMi2TN26dZk/fz6//vor33//PUajkbZt23LlypWiC7SAMs5Dfs5RdHQ0BoOhRJ7X5ORkXn/9dQYPHpzjJoj5/ZwXtx49erBw4UI2b97MrFmz2LZtGz179sRgMGRZviSfw++++w53d/dcu41s9RwajUZeeukl2rVrR8OGDYH076GDg0Om5Dyn81GQ725RyKp994uOjmbGjBmMHj06x7ry+7kuKtm1cciQIXz//fds2bKFyZMns2jRIp588sls6ymKcyi7z1tBz549TbcbN25M69atCQgI4Mcff8zT/9BKmm+//ZaePXtSqVKlbMu0adOGNm3amO63bduW+vXr8+WXXzJjxoyiCFPkgV6vZ+DAgSil+OKLL3IsW9I+50888YTpdqNGjWjcuDE1a9Zk69atdOnSpRgjs7z58+czdOjQXCck2Oo5DA0N5Z9//inWMWfWlFv7YmNj6d27N0FBQUyfPj3Humz1c51dG+9N7Bo1aoS/vz9dunTh7Nmz1KxZs6jDBOSKUJHw8vKiTp06nDlzJsvn/fz8Ms18uH79On5+fkURXqFcvHiRTZs2MXLkyHy9zt7enmbNmmX7ntiSjPOQn3Pk7e2NTqcrUec1Iwm6ePEiGzduzPFqUFZy+5zbmho1auDt7Z1tvCXxHALs2LGDkydP5vs7CbZxDseOHcvvv//Oli1bqFKliulxPz8/UlNTuXv3rln5nM5HQb671pZd+zLExcXRo0cP3N3dWbFiBfb29vmqP7fPdVHIrY33at26NUCOfx/h/9u715Am2zAO4P+hzlUj7WA6KnVhSdmBspIV2MkOVBQhVhSVVI6KglWGnczOVNiJonihyKCiA1SaGZKWUZaVpiklkTGxyDIUzcqU9Hq/vI6Wm3O+Oo39f7AP23Pf131d3s/g4pnb0757yEbIAb59+4Z3795Bo9FYPK7T6ZCenm722t27d82uoHRW586dQ58+fTBr1iy75tXX16OgoMDq36Qz0Wq18PHxMdujr1+/4unTp1b3SKlUIjg42GxOQ0MD0tPTO+W+NjZBb9++RVpaGnr16mV3DFvneWfz4cMHlJeXW833b9vDRmfPnkVwcDBGjBhh99yO3EMRwdq1a3Hjxg3cu3cPWq3W7HhwcDDc3NzM9uPNmzcoKSmxuh+tee+2F1v1NeY2bdo0KJVKJCUlteonRmyd1+2pJTX+KS8vDwCs5uuQPWyTf7kmMxs3bpSMjAwxGo2SmZkpYWFh0rt3bykrKxMRkSVLlsjmzZtN4zMzM8XV1VXi4+OlsLBQ4uLixM3NTQoKCjqqhBapr68XX19fiYmJaXLszxp37dolqamp8u7dO8nJyZGFCxeKSqWSV69eOTJlq6qrqyU3N1dyc3MFgBw5ckRyc3NN35o6cOCAeHp6SmJiouTn58vcuXNFq9VKTU2NKcbkyZPlxIkTpueXL18Wd3d3SUhIkNevX4terxdPT0/59OlTp6qvrq5O5syZI/369ZO8vDwpLS01PWpra63WZ+s8d7Tmaqyurpbo6Gh58uSJGI1GSUtLk1GjRsnAgQPl58+fphh/6x42qqqqkq5du8rp06ctxujMe7h69Wrx8PCQjIwMs3Pwx48fpjGrVq0SX19fuXfvnmRnZ4tOpxOdTmcWJzAwUK5fv2563pL3riPYqq+qqkpCQkJk2LBhUlRUZDbm169fFutr6XndWWosKiqS3bt3S3Z2thiNRklMTJQBAwZIaGioWRxH7yEboXawYMEC0Wg0olQqpW/fvrJgwQIpKioyHZ8wYYIsW7bMbM7Vq1dl0KBBolQqJSgoSG7fvu3grO2XmpoqAOTNmzdNjv1Zo8FgEF9fX1EqleLt7S0zZ86UFy9eODDb5t2/f18ANHk01tDQ0CCxsbHi7e0t7u7uMmXKlCZ1+/n5SVxcnNlrJ06cMNU9duxYycrKclBF5pqrz2g0WjwGQO7fv2+K8Wd9ts5zR2uuxh8/fsi0adPEy8tL3NzcxM/PT6Kiopo0NH/rHjb6559/pEuXLlJZWWkxRmfeQ2vn4Llz50xjampqZM2aNdKjRw/p2rWrzJs3T0pLS5vE+X1OS967jmCrPmv7C0CMRqNZnMY5LT2vHcVWjSUlJRIaGio9e/YUd3d3CQgIkE2bNklVVVWTOI7cQ8V/ixIRERE5Hf6PEBERETktNkJERETktNgIERERkdNiI0REREROi40QEREROS02QkREROS02AgRERGR02IjREQEIDIyEgqFAgqFAjdv3rQ6rri4GAqFwnRrgJbauXOnKf6xY8f+V65E1HbYCBFRh/vy5QtWr14NX19fuLu7w8fHB9OnT0dmZqZpjL+/PxQKBbKysszmGgwGTJw40fT894bDxcUF/fv3h16vR0VFhc08ZsyYgdLSUrO7stvS2Bg1PpRKJQICArB37178/nu10dHRKC0ttXkTSiJyLNeOToCIKDw8HHV1dTh//jwGDBiAz58/Iz09HeXl5WbjVCoVYmJi8ODBg2bjBQUFIS0tDfX19SgsLMTy5ctRVVWFK1euNDuvsQlrjbS0NAQFBaG2thaPHj3CypUrodFosGLFCgCAWq2GWq2Gi4tLq+ITUfvgFSEi6lCVlZV4+PAhDh48iEmTJsHPzw9jx47Fli1bMGfOHLOxer0eWVlZSElJaTamq6srfHx80LdvX4SFhSEiIgJ3795tVX7Pnj3DyJEjoVKpMHr0aOTm5loc16tXL/j4+MDPzw+LFy/G+PHj8eLFi1atSUSOw0aIiDpU45WSmzdvora2ttmxWq0Wq1atwpYtW9DQ0NCi+MXFxUhNTYVSqbQ7t2/fvmH27NkYMmQIcnJysHPnTkRHR9ucl52djZycHISEhNi9JhE5FhshIupQrq6uSEhIwPnz5+Hp6Ynx48dj69atyM/Ptzh++/btMBqNuHjxotWYBQUFUKvV6NKlC7RaLV69eoWYmBi7c7t06RIaGhpw9uxZBAUFYfbs2di0aZPFsePGjYNarYZSqcSYMWMwf/58LF261O41icix2AgRUYcLDw/Hx48fkZSUhBkzZiAjIwOjRo1CQkJCk7FeXl6Ijo7Gjh07UFdXZzFeYGAg8vLy8Pz5c8TExGD69OlYt26d3XkVFhZi+PDhUKlUptd0Op3FsVeuXEFeXh5evnyJq1evIjExEZs3b7Z7TSJyLDZCRNQpqFQqTJ06FbGxsXj8+DEiIyMRFxdnceyGDRtQU1ODU6dOWTze+M2toUOH4sCBA3BxccGuXbvaM330798fAQEBGDx4MCIiImAwGHD48GH8/PmzXdclov+HjRARdUpDhgzB9+/fLR5Tq9WIjY3Fvn37UF1dbTPW9u3bER8fj48fP9qVw+DBg5Gfn2/WzPz59X1rXFxc8OvXL6tXrYioc2AjREQdqry8HJMnT8aFCxeQn58Po9GIa9eu4dChQ5g7d67VeXq9Hh4eHrh06ZLNNXQ6HYYPH479+/fblduiRYugUCgQFRWF169fIyUlBfHx8Vbr+PTpEz58+IA7d+7g+PHjmDRpErp3727XmkTkWGyEiKhDqdVqhISE4OjRowgNDcXQoUMRGxuLqKgonDx50uo8Nzc37Nmzp8UfPa1fvx5nzpzB+/fv7crt1q1bKCgowMiRI7Ft2zYcPHjQ4tiwsDBoNBr4+/tDr9dj5syZNn+3iIg6nkJ+/+lTIiInFRkZicrKymZvr9EW/P39YTAYYDAY2nUdImoZXhEiIvpPcnIy1Go1kpOT2zz2/v37oVarUVJS0uaxiaj1eEWIiAhAWVkZvn79CgDQaDTo1q1bm8avqKgw3e/My8sLHh4ebRqfiFqHjRARERE5LX40RkRERE6LjRARERE5LTZCRERE5LTYCBEREZHTYiNERERETouNEBERETktNkJERETktNgIERERkdNiI0RERERO618YjjyH6GFWMgAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot the new BLER table\n",
    "phy_abs.plot(plot_subset=sim_set,\n",
    "             show=True);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Please note that the new BLER table is overwritten to `phy_abs.bler_table` at\n",
    "the corresponding entries.\n",
    "We can also inspect the BLER table directly:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-03-14T11:12:49.602491Z",
     "iopub.status.busy": "2025-03-14T11:12:49.602264Z",
     "iopub.status.idle": "2025-03-14T11:12:49.607767Z",
     "shell.execute_reply": "2025-03-14T11:12:49.607131Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'BLER': [1.0,\n",
       "  1.0,\n",
       "  1.0,\n",
       "  1.0,\n",
       "  1.0,\n",
       "  1.0,\n",
       "  1.0,\n",
       "  1.0,\n",
       "  1.0,\n",
       "  0.9933333396911621,\n",
       "  0.846666693687439,\n",
       "  0.5799999833106995,\n",
       "  0.1666666716337204,\n",
       "  0.019999999552965164,\n",
       "  0.0,\n",
       "  0.0,\n",
       "  0.0,\n",
       "  0.0,\n",
       "  0.0,\n",
       "  0.0,\n",
       "  0.0,\n",
       "  0.0,\n",
       "  0.0,\n",
       "  0.0,\n",
       "  0.0]}"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "new_table[\"category\"][1][\"index\"][2][\"MCS\"][16][\"CBS\"][200]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Bypass physical layer computations\n",
    "\n",
    "Once the `PHYAbstraction` object has been instantiated, we can use it to\n",
    "produce \n",
    "- Number of succesfully decoded bits;\n",
    "- Hybrid automatic repeat request (HARQ) value, reporting an ACK (HARQ=1) or a NACK (HARQ=0) depending on whether the transport block has been correctly received. If missing, -1 is reported;\n",
    "- Effective SINR value, that can be used as a measure of the channel condition quality for the user;\n",
    "- Block error rate (BLER), defining the probability that a code block is not decoded correctly;\n",
    "- Transport block error rate (TBLER), being the probability that at least one\n",
    "  code block in a transport block is not decoded correctly. \n",
    "\n",
    "We first set up the main parameters:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-03-14T11:12:49.611263Z",
     "iopub.status.busy": "2025-03-14T11:12:49.611003Z",
     "iopub.status.idle": "2025-03-14T11:12:49.615683Z",
     "shell.execute_reply": "2025-03-14T11:12:49.614893Z"
    }
   },
   "outputs": [],
   "source": [
    "# MCS table index\n",
    "# Ranges within [1;4] for downlink and [1;2] for uplink, as in TS 38.214\n",
    "mcs_table_index = 1\n",
    "\n",
    "direction = 'uplink'  # 'downlink' or 'uplink'\n",
    "mcs_category = int(direction == 'downlink')\n",
    "num_ut = 80\n",
    "\n",
    "# Time/frequency resource grid\n",
    "num_ofdm_symbols = 14\n",
    "num_subcarriers = 1024\n",
    "num_streams_per_ut = 1\n",
    "\n",
    "# BLER target value\n",
    "bler_target = .1"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Next we generate the SINR on a per-stream basis in random fashion.  \n",
    "In subsequent tutorials you will learn how to generate more realistic SINR values based on\n",
    "stochastic channel models or ray tracing."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-03-14T11:12:49.618023Z",
     "iopub.status.busy": "2025-03-14T11:12:49.617764Z",
     "iopub.status.idle": "2025-03-14T11:12:49.639112Z",
     "shell.execute_reply": "2025-03-14T11:12:49.638422Z"
    }
   },
   "outputs": [],
   "source": [
    "# Generate random SINR values across UT\n",
    "# Target shape:\n",
    "# […, num_ofdm_symbols, num_subcarriers, num_ut, num_streams_per_ut]\n",
    "sinr_db = config.tf_rng.uniform([1,1,num_ut,1], minval=-5, maxval=30)\n",
    "\n",
    "# Generate random SINR values across UT, subcarriers, and OFDM symbols\n",
    "sinr_db = sinr_db + config.tf_rng.normal(\n",
    "    [num_ofdm_symbols, num_subcarriers, num_ut, num_streams_per_ut], mean=0, stddev=2)\n",
    "sinr = db_to_lin(sinr_db)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To bypass the physical layer, the `PHYAbstraction` module also needs the MCS\n",
    "indices for each user.  \n",
    "For simplicity, we select it as the highest MCS index guaranteeing a TBLER not exceeding\n",
    "the specified target value, via the link adaptation module\n",
    "[InnerLoopLinkAdaptation (ILLA)](https://nvlabs.github.io/sionna/sys/api/link_adaptation.html#sionna.sys.InnerLoopLinkAdaptation)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-03-14T11:12:49.642620Z",
     "iopub.status.busy": "2025-03-14T11:12:49.642262Z",
     "iopub.status.idle": "2025-03-14T11:12:50.529007Z",
     "shell.execute_reply": "2025-03-14T11:12:50.528090Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "MCS indices:  [14 18 10  5 27 23  7  5 13 27 25 27 24 23 12 27  5 27 19  2 16 17 27 27\n",
      " 21 27 22 25  3 15 25 27 21  7 27  2 27  7 23 22  9 15 27 27 27 27 20 27\n",
      " 27  7 21 16 16 17  5 27 25 12 27 23 27 16 27 27  3 12 27 27 27 17  4 27\n",
      " 27 12 14 27  5 27 19 21]\n"
     ]
    }
   ],
   "source": [
    "illa = InnerLoopLinkAdaptation(phy_abs, bler_target)\n",
    "\n",
    "mcs_index = illa(sinr=sinr,\n",
    "                 mcs_table_index=mcs_table_index)\n",
    "print(\"MCS indices: \",mcs_index.numpy())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can now call the `PHYAbstraction` object, providing the generated\n",
    "per-stream SINR and per-user MCS index to obtain the number of decoded bits,\n",
    "HARQ feedback, effective SINR, BLER and TBLER.\n",
    "\n",
    "Note that the transport block size is derived internally from the shape of the input per-stream SINR,\n",
    "revealing the number of allocated resources, and MCS index."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-03-14T11:12:50.533223Z",
     "iopub.status.busy": "2025-03-14T11:12:50.532998Z",
     "iopub.status.idle": "2025-03-14T11:12:50.609979Z",
     "shell.execute_reply": "2025-03-14T11:12:50.609132Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "HARQ feedback:  [1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n",
      " 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n",
      " 1 0 1 1 1 1]\n"
     ]
    }
   ],
   "source": [
    "# [batch_size, num_ut]\n",
    "num_decoded_bits, harq_feedback, sinr_eff, bler, tbler = \\\n",
    "    phy_abs(mcs_index,\n",
    "            sinr=sinr,\n",
    "            mcs_table_index=mcs_table_index,\n",
    "            mcs_category=mcs_category)\n",
    "\n",
    "sinr_eff = sinr_eff.numpy()\n",
    "\n",
    "# When HARQ feedback = 0, the Transport Block has not been decoded successfully\n",
    "assert np.all(num_decoded_bits.numpy()[harq_feedback.numpy()==0]==0)\n",
    "\n",
    "# Inspect the HARQ feedback\n",
    "print(\"HARQ feedback: \", harq_feedback.numpy())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Note that the HARQ feedback is generated randomly depending on the TBLER. You\n",
    "can call the cell above multiple times to observe this behavior.  \n",
    "Note that even if a user\n",
    "has multiple streams allocated, it is assumed that they are part of the same\n",
    "transport block."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Effective SINR\n",
    "\n",
    "The effective SINR is the equivalent SINR value of an AWGN channel that\n",
    "reproduces the same block error rate (BLER) as a fading channel where codeword\n",
    "symbols experience varying SINR values across different subcarriers, streams, or\n",
    "time instances.  \n",
    "(*In contrast, in an AWGN channel, all codeword symbols experience uniform SINR\n",
    "conditions.*)\n",
    "\n",
    "\n",
    "For a user experiencing a signal-to-interference-plus-noise ratio\n",
    "$\\mathrm{SINR}_i$ on time/frequency resource $i=1,\\dots,N$, its effective SINR is computed as:\n",
    "$$\n",
    "-\\beta \\log\\left( \\frac{1}{N} \\sum_{i=1}^N e^{-\\mathrm{SINR}_i/\\beta}\\right)\n",
    "$$\n",
    "where $\\beta>0$ is a parameter whose value depends on the used MCS.\n",
    "\n",
    "It is interesting to visualize the relationship between the per-stream and the equivalent\n",
    "SINR for each user."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-03-14T11:12:50.614351Z",
     "iopub.status.busy": "2025-03-14T11:12:50.614124Z",
     "iopub.status.idle": "2025-03-14T11:13:00.659312Z",
     "shell.execute_reply": "2025-03-14T11:13:00.658424Z"
    }
   },
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Sort users in increasing order of effective SINR\n",
    "ind_sort = np.argsort(sinr_eff)\n",
    "\n",
    "# [num_ut, num_ofdm_symbols, num_subcarriers, num_streams_per_ut]\n",
    "sinr_t = np.transpose(sinr.numpy(), [2, 0, 1, 3])\n",
    "# [num_ut, num_ofdm_symbols*num_subcarriers*num_streams_per_ut]\n",
    "sinr_t = np.reshape(sinr_t, [num_ut, -1])\n",
    "sinr_t = sinr_t[ind_sort, :]\n",
    "\n",
    "# Visualize the effective vs. per-stream SINR values\n",
    "fig, ax = plt.subplots()\n",
    "for ut in range(num_ut):\n",
    "    label = 'Per-stream' if ut==0 else None\n",
    "    ax.scatter([ut]*sinr_t.shape[1], 10*np.log10(sinr_t[ut, :]), c='y', alpha=.3, edgecolors='k', label=label)\n",
    "ax.plot(10*np.log10(sinr_eff[ind_sort]), '-k', linewidth=3, label='Effective')\n",
    "ax.plot(10*np.log10(sinr_t.mean(axis=1)), '--r', linewidth=2, label='Arithmetic mean')\n",
    "ax.set_xlabel('User')\n",
    "ax.set_ylabel('SINR [dB]')\n",
    "ax.set_title('Per-stream vs. effective SINR')\n",
    "ax.grid()\n",
    "ax.legend(framealpha=1)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We observe that for users in good channel conditions, the effective SINR shifts\n",
    "to lower percentiles of the per-stream SINR distribution due to the exponent's\n",
    "effect, which attenuates high per-stream SINR values.  \n",
    "In other words, at low average SINR, the effective SINR is close to the arithmetic mean of the per-stream SINR values, whereas at high SINR, it is significantly lower than the average per-stream SINR."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Achieved vs. Shannon spectral efficiency\n",
    "\n",
    "Finally, we compute the achieved spectral efficiency and compare it against the\n",
    "corresponding Shannon upper bound, for each user."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-03-14T11:13:00.665707Z",
     "iopub.status.busy": "2025-03-14T11:13:00.665409Z",
     "iopub.status.idle": "2025-03-14T11:13:00.675345Z",
     "shell.execute_reply": "2025-03-14T11:13:00.674523Z"
    }
   },
   "outputs": [],
   "source": [
    "# Determine if a resource element carries energy from at \n",
    "# least one stream of a particular user\n",
    "# [num_ofdm_sym, num_subcarriers, num_ut]\n",
    "is_re_allocated = np.sum(sinr.numpy(), axis=-1) > 0\n",
    "\n",
    "# Sum the number of allocated resource elements across\n",
    "# all subcarriers and OFDM symbols\n",
    "# [num_ut]\n",
    "num_allocated_re = np.sum(is_re_allocated, axis=(-2, -3))\n",
    "\n",
    "# Achieved spectral efficiency\n",
    "# number of decoded bits of the transport block divided by the number of\n",
    "# allocated resource elements\n",
    "# [num_ut]\n",
    "se_achieved = num_decoded_bits / num_allocated_re\n",
    "\n",
    "# Shannon capacity\n",
    "# [num_ut]\n",
    "se_shannon = log2(tf.cast(1, sinr_eff.dtype) + sinr_eff)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-03-14T11:13:00.677907Z",
     "iopub.status.busy": "2025-03-14T11:13:00.677580Z",
     "iopub.status.idle": "2025-03-14T11:13:00.835956Z",
     "shell.execute_reply": "2025-03-14T11:13:00.835331Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def get_cdf(values):\n",
    "    \"\"\"\n",
    "    Computes the Cumulative Distribution Function (CDF) of the input vector\n",
    "    \"\"\"\n",
    "    values = np.array(values).flatten()\n",
    "    n = len(values)\n",
    "    sorted_val = np.sort(values)\n",
    "    cumulative_prob = np.arange(1, n+1) / n\n",
    "    return sorted_val, cumulative_prob\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(5,4))\n",
    "ind_sort = np.argsort(se_shannon.numpy())\n",
    "ax.plot(se_achieved.numpy()[ind_sort], label='Achieved')\n",
    "ax.plot(se_shannon.numpy()[ind_sort], label='Shannon bound')\n",
    "ax.set_title('Spectral Efficiency')\n",
    "ax.set_xlabel('User')\n",
    "ax.set_ylabel('SE [bits/s/Hz]')\n",
    "ax.legend()\n",
    "ax.grid()\n",
    "fig.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "One can see that the achieved spectral efficiency is substantially lower\n",
    "than the Shannon capacity. At low SINR, this is mainly due to the fact that the targeted BLER\n",
    "limits the achievable spectral efficiency. At high SINR, the highest available MCS scheme is the\n",
    "main limiting factor. A zero spectral efficiency is observed when the transport\n",
    "block has not been decoded correctly, which occurs with probability TBLER.\n",
    "\n",
    "You can play around with different BLER targets, MCS indices, tables, and\n",
    "resource grid sizes (i.e., number of OFDM symbols and subcarriers) to observe their impact on the achieved spectral efficiency."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Conclusions\n",
    "\n",
    "The [PHYAbstraction](https://nvlabs.github.io/sionna/sys/api/abstraction.html#sionna.sys.PHYAbstraction) class bypasses the physical layer processing via the\n",
    "computation of an AWGN-equivalent effective SINR which is mapped to a BLER value\n",
    "according to precomputed tables.\n",
    "\n",
    "In this notebook, the SINR generation and MCS selection processes are\n",
    "intentionally simplified.  \n",
    "For a deeper understanding of these topics, you can have a look at the following notebooks:\n",
    "\n",
    "- SINR computation from OFDM channel matrices is covered in the \n",
    "  [hexagonal grid topology notebook](https://nvlabs.github.io/sionna/sys/tutorials/HexagonalGrid.html);\n",
    "- Link adaptation for MCS selection is discussed in the \n",
    "  [link adaptation notebook](https://nvlabs.github.io/sionna/sys/tutorials/LinkAdaptation.html).\n",
    "\n",
    "## References\n",
    "\n",
    "[1] S. Lagen, K. Wanuga, H. Elkotby, S. Goyal, N. Patriciello, L.\n",
    "    Giupponi. *New radio physical layer abstraction for\n",
    "    system-level simulations of 5G networks*. IEEE International\n",
    "    Conference on Communications (ICC), 2020 \n"
   ]
  }
 ],
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